Prof. Philippe G CIARLET, 菲立普希阿雷

Research output

Research output per year 1967 2000 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2019 2024

• 158 RGC 21 - Publication in refereed journal
• 39 RGC 31A - Invited conference paper (refereed items)
• 20 Editorial Preface
• 8 RGC 11 - Research book or monograph (Author)
• 23 More
  • 8 RGC 22 - Publication in policy or professional journal
  • 6 Foreword/preface/postscript
  • 2 RGC 13 - Textbook (Author)
  • 2 RGC 12 - Chapter in an edited book (Author)
  • 2 RGC 62 - Review of books or of software (or similar publications/items)
  • 1 RGC 32 - Refereed conference paper (with host publication)
  • 1 RGC 33 - Other conference paper
  • 1 Comment/debate

Research output per year

Research output per year

Search results

• 2024

  Intrinsic Marguerre–von Kármán equations

  Ciarlet, P. G. & Mardare, C., Feb 2024, In: Mathematics and Mechanics of Solids. 29, 2, p. 386-400

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Displacement Field 100%
  • Shallow Shells 100%
  • Boundary Value 100%
  • Existence Theorem 100%
  • Bending Moment 100%
• 2023

  Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates

  Ciarlet, P. G. & Mardare, C., Jun 2023, In: Mathematics and Mechanics of Solids. 28, 6, p. 1349-1362

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Displacement Field 100%
  • Elastic Plate 100%
  • Surface (Surface Science) 100%
  • Middle Surface 66%
  • Bending Moment 50%
  3 Citations (Scopus)
• 2021

  Locally Convex Spaces an Harmonic Analysis: An Introduction

  Ciarlet, P. G., Jul 2021, Philadelphia: SIAM. 195 p. (Other titles in applied mathematics; vol. 175)

  Research output: Scholarly Books, Monographs, Reports and Case Studies › RGC 13 - Textbook (Author)
• 2020

  Continuity in Fréchet topologies of a surface as a function of its fundamental forms

  Ciarlet, P. G., Malin, M. & Mardare, C., Oct 2020, In: Journal des Mathematiques Pures et Appliquees. 142, p. 243-265 23 p.

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Symmetric Matrix 100%
  • Second Fundamental Form 100%
  • First Fundamental Form 100%
  • Fundamental Form 100%
  • Matrix (Mathematics) 50%
  3 Citations (Scopus)
• 2019

  A confinement problem for a linearly elastic Koiter's shell

  Ciarlet, P. G. & Piersanti, P., Feb 2019, In: Comptes Rendus Mathematique. 357, 2, p. 221-230

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  File

  • Asymptotic Analysis 100%
  • Variational Inequality 33%
  • Dimensional Model 33%
  • Function Space 33%
  • Half Space 33%
  17 Citations (Scopus)

  82 Downloads (CityUHK Scholars)

• An obstacle problem for elliptic membrane shells

  Ciarlet, P. G., Mardare, C. & Piersanti, P., 1 May 2019, In: Mathematics and Mechanics of Solids. 24, 5, p. 1503-1529

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Asymptotic Analysis 100%
  • Vector Field 100%
  • Obstacle Problem 100%
  • Two Dimensional 100%
  • Variational Inequality 50%
  20 Citations (Scopus)

• An obstacle problem for Koiter’s shells

  Ciarlet, P. G. & Piersanti, P., Oct 2019, In: Mathematics and Mechanics of Solids. 24, 10, p. 3061–3079

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Asymptotic Analysis 100%
  • Obstacle Problem 100%
  • Variational Inequality 50%
  • Dimensional Model 50%
  • Function Space 50%
  19 Citations (Scopus)

• A surface in W^2,p is a locally Lipschitz-continuous function of its fundamental forms in W^1,p and L^p, p  > 2

  Ciarlet, P. G. & Mardare, C., Apr 2019, In: Journal des Mathematiques Pures et Appliquees. 124, p. 300-318

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Fundamental Form 100%
  • Lipschitz Continuous Function 100%
  • Existence and Uniqueness Theorem 33%
  • Dimensional Euclidean Space 33%
  • Second Fundamental Form 33%
  6 Citations (Scopus)

• Asymptotic justification of the intrinsic equations of Koiter's model of a linearly elastic shell

  Ciarlet, P. G. & Mardare, C., Jan 2019, In: Comptes Rendus Mathematique. 357, 1, p. 99-110

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  File

  • Strain Tensor 100%
  • Intrinsic Equation 100%
  • Tensor Field 100%
  • Priori Assumption 66%
  • Boundary Condition 66%
  2 Citations (Scopus)

  65 Downloads (CityUHK Scholars)

• Continuity of a surface in Fréchet spaces

  Ciarlet, P. G., Malin, M. & Mardare, C., Nov 2019, In: Comptes Rendus Mathematique. 357, 11-12, p. 917-921

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  File

  • Second Fundamental Form 100%
  • First Fundamental Form 100%
  • Fundamental Form 100%
  51 Downloads (CityUHK Scholars)

• New estimates of the distance between two surfaces in terms of the distance between their fundamental forms

  Ciarlet, P. G., Malin, M. & Mardare, C., May 2019, In: Analysis and Applications. 17, 3, p. 363-392

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Fundamental Form 100%
  • Left Hand Side 100%
  • Isometry 66%
  • Boundary Condition 33%
  6 Citations (Scopus)

• The intrinsic theory of linearly elastic plates

  Ciarlet, P. G. & Mardare, C., Apr 2019, In: Mathematics and Mechanics of Solids. 24, 4, p. 1182-1203

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Tensor Field 100%
  • Classical Approach 100%
  • Boundary Condition 100%
  • Elastic Plate 100%
  • Middle Surface 66%
  5 Citations (Scopus)
• 2018

  An existence theorem for a two-dimensional nonlinear shell model of Koiter's type

  Ciarlet, P. G. & Mardare, C., 30 Dec 2018, In: Mathematical Models and Methods in Applied Sciences. 28, 14, p. 2833-2861

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Existence Theorem 100%
  • Energy Function 100%
  • Kirchhoff 33%
  • Existence Theory 33%
  • Minimization Problem 33%
  8 Citations (Scopus)

• An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates

  Ciarlet, P. G. & Mardare, C., Jul 2018, In: Analysis and Applications. 16, 4, p. 565-584

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Displacement Field 100%
  • Elastic Plate 100%
  • Bending Moment 100%
  • Bending Stress 100%
  • Dirichlet Boundary Condition 50%
  5 Citations (Scopus)

• A nonlinear shell model of Koiter's type

  Ciarlet, P. G. & Mardare, C., Feb 2018, In: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 356, 2, p. 227-234

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  File

  • Existence Theorem 100%
  • Nonlinear Elasticity 50%
  • Energy Function 50%
  • Boundary Condition 50%
  10 Citations (Scopus)

  83 Downloads (CityUHK Scholars)

• Intrinsic formulation of the displacement-traction problem in linear shell theory

  Ciarlet, P. G. & Mardare, C., Nov 2018, In: Comptes Rendus Mathematique. 356, 11-12, p. 1243-1250

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  File

  • Shell Theory 100%
  • Tensor Field 100%
  • Dirichlet Boundary Condition 100%
  • Displacement Field 100%
  • Curvature Tensor Field 100%
  3 Citations (Scopus)

  45 Downloads (CityUHK Scholars)

• On a Vector Version of a Fundamental Lemma of J. L. Lions

  CIARLET, P. G., MALIN, M. & MARDARE, C., Jan 2018, In: Chinese Annals of Mathematics. Series B. 39, 1, p. 33-46

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Matrix (Mathematics) 100%
  • Vector Field 66%
  • Open Subset 33%
  10 Citations (Scopus)

• Un problème de confinement pour une coque membranaire linéairement élastique de type elliptique

  Translated title of the contribution: A confinement problem for a linearly elastic membrane shell of elliptic typeCiarlet, P. G., Mardare, C. & Piersanti, P., Oct 2018, In: Comptes Rendus Mathematique. 356, 10, p. 1040-1051

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  File

  • Elliptic Type 100%
  • Variational Inequality 50%
  • Asymptotic Analysis 50%
  • Displacement Field 50%
  • Dimensional Problem 50%
  18 Citations (Scopus)

  56 Downloads (CityUHK Scholars)

• W^2,p -estimates for surfaces in terms of their two fundamental forms

  Ciarlet, P. G. & Mardare, C., Jan 2018, In: Comptes Rendus Mathematique. 356, 1, p. 85-91

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  File

  • Fundamental Theorem 100%
  • Open Subset 100%
  • Fundamental Form 100%
  2 Citations (Scopus)

  50 Downloads (CityUHK Scholars)
• 2017

  New nonlinear estimates for surfaces in terms of their fundamental forms

  Ciarlet, P. G., Malin, M. & Mardare, C., Feb 2017, In: Comptes Rendus Mathematique. 355, 2, p. 226-231

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Fundamental Form 100%
  • Dimensional Euclidean Space 50%
  • Immersed Surface 50%
  9 Citations (Scopus)

• Nonlinear Donati compatibility conditions on a surface-Application to the intrinsic approach for Koiter's model of a nonlinearly elastic shallow shell

  Ciarlet, P. G. & Iosifescu, O., Feb 2017, In: Mathematical Models and Methods in Applied Sciences. 27, 2, p. 347-384

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Displacement Field 100%
  • Shallow Shells 100%
  • Existence Theorem 100%
  • Matrix (Mathematics) 100%
  • Actual Displacement 66%
  2 Citations (Scopus)

• Recovery of Immersions from Their Metric Tensors and Nonlinear Korn Inequalities: A Brief Survey

  CIARLET, P. G., MARDARE, C. & MARDARE, S., Jan 2017, In: Chinese Annals of Mathematics. Series B. 38, 1, p. 253-280

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Metric Tensor 100%
  • Tensor Field 50%
  • Function Space 50%
  3 Citations (Scopus)

• Une approche intrinsèque d'un modèle non linéaire de la théorie des coques

  Ciarlet, P. G. & Iosifescu, O., Feb 2017, In: Comptes Rendus Mathematique. 355, 2, p. 232-242

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access
  1 Citation (Scopus)
• 2016

  A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell

  Ciarlet, P. G. & Mardare, C., Dec 2016, In: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 354, 12, p. 1241-1247

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Mathematical Modeling 100%
  • Gaussian Curvature 100%
  • Spherical Shell 100%
  • Mean Curvature 100%
  6 Citations (Scopus)

• En hommage á Marius IOSIFESCU

  Andler, M., Brezis, H., Ciarlet, P., Cioranesco, D., Duhamel, C., Guyon, E., Helffer, B. & Rey, V., 2016, In: Annals of the University of Craiova, Mathematics and Computer Science Series. 43, 1, p. 1-5

  Research output: Journal Publications and Reviews › Comment/debate

• Intrinsic finite element methods for the computation of fluxes for Poisson’s equation

  Ciarlet, P. G., Ciarlet, P., Sauter, S. A. & Simian, C., Mar 2016, In: Numerische Mathematik. 132, 3, p. 433-462

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Finite Element Method 100%
  • Poisson Equation 100%
  • Direct Computation 33%
  • Potential Theory 33%
  9 Citations (Scopus)

• Nonlinear Korn inequalities and applications

  CIARLET, P. G., 30 May 2016.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• Nonlinear Korn inequalities in Rⁿ and immersions in W^2,p, p>n, considered as functions of their metric tensors in W^1,p

  Ciarlet, P. G. & Mardare, S., Jun 2016, In: Journal des Mathematiques Pures et Appliquees. 105, 6, p. 873-906

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Metric Tensor 100%
  • Quotient Set 50%
  • Upper Bound 25%
  • Tensor 25%
  • Curvature Tensor 25%
  10 Citations (Scopus)

• On Korn's inequalities on a surface

  Ciarlet, P. G., Hou, Y. & Mardare, C., May 2016, In: Analysis and Applications. 14, 3, p. 415-447

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Open Set 100%
  • Curvature Tensor 100%
  • Vector Field 100%
  • Direct Proof 100%
  5 Citations (Scopus)
• 2015

  A finite element method for intrinsic elasticity

  CIARLET, P. G., 18 Jun 2015.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• Donati compatibility conditions for membrane and flexural shells

  Ciarlet, P. G., Mardare, C. & Shen, X., Nov 2015, In: Analysis and Applications. 13, 6, p. 685-705

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Minimization Problem 100%
  • Curvature Tensor 50%
  • Variational Equation 50%
  • Tensor Field 50%
  • test function φ 50%
  8 Citations (Scopus)

• Existence Theorem for a Nonlinear Elliptic Shell Model

  BUNOIU, R., CIARLET, P. G. & MARDARE, C., Apr 2015, In: Journal of Elliptic and Parabolic Equations. 1, 1, p. 31-48

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Existence Theorem 100%
  • Curvature Tensor 100%
  • Elliptic Surfaces 100%
  10 Citations (Scopus)

• How to directly compute the stresses in elasticity problems

  CIARLET, P. G., 16 Aug 2015.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• Inégalités de Korn non linéaires dans Rn, avec ou sans conditions aux limites

  Translated title of the contribution: Nonlinear Korn inequalities in Rⁿ, with or without boundary conditionsCiarlet, P. G. & Mardare, C., Jun 2015, In: Comptes Rendus Mathematique. 353, 6, p. 563-568

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Linear Part 100%
  • Vector Field 100%
  • Open Subset 100%
  • Lipschitz Boundary 100%
  • Boundary Condition 100%
  3 Citations (Scopus)

• Intrinsic elasticity and the direct finite element approximation of stresses

  CIARLET, P. G., 25 May 2015.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• New identity and Korn's inequalities on a surface

  Ciarlet, P. G., Hou, Y. & Mardare, C., Apr 2015, In: Comptes Rendus Mathematique. 353, 4, p. 369-374

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Vector Field 100%

• Nonlinear Donati compatibility conditions and the intrinsic approach for nonlinearly elastic plates

  Ciarlet, P. G., Geymonat, G. & Krasucki, F., Jan 2015, In: Journal des Mathematiques Pures et Appliquees. 103, 1, p. 255-268

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Tensor Field 100%
  • Curvature Tensor Field 100%
  • Elastic Plate 100%
  • Kirchhoff 50%
  • Nonlinear Plate Theory 50%
  4 Citations (Scopus)

• Nonlinear Korn inequalities

  Ciarlet, P. G. & Mardare, C., Dec 2015, In: Journal des Mathematiques Pures et Appliquees. 104, 6, p. 1119-1134

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Tensor Field 100%
  • Metric Tensor 50%
  • Linear Part 25%
  • Vector Field 25%
  • Rigidity 25%
  24 Citations (Scopus)

• On a lemma of J.L. Lions

  CIARLET, P. G., 21 Oct 2015.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• On a lemma of Jacques-Louis Lions and its relation to other fundamental results

  Amrouche, C., Ciarlet, P. G. & Mardare, C., Aug 2015, In: Journal des Mathematiques Pures et Appliquees. 104, 2, p. 207-226

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Equivalence Theorem 100%
  • Fundamental Result 100%
  • Direct Proof 100%
  • Sufficient Condition 50%
  • Vector Field 50%
  32 Citations (Scopus)

• Une inégalité de Korn non linéaire dans W^2,p, p>n

  Ciarlet, P. G. & Mardare, S., Oct 2015, In: Comptes Rendus Mathematique. 353, 10, p. 905-911

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access
  2 Citations (Scopus)
• 2014

  A New Approach to Elasticity Problems and their Finite Element Approximations

  CIARLET, P. G., 1 Jun 2014.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• A weak Poincaré lemma and its application to intrinsic elasticity

  CIARLET, P. G., 25 Aug 2014.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• Boundary conditions in intrinsic nonlinear elasticity

  Ciarlet, P. G. & Mardare, C., Apr 2014, In: Journal des Mathematiques Pures et Appliquees. 101, 4, p. 458-472

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Boundary Condition 100%
  • Cauchy-Green Strain Tensor 66%
  • Tensor Field 66%
  • Partial Differential Equation 33%
  6 Citations (Scopus)

• Direct computation of stresses in elasticity

  CIARLET, P. G., 8 Dec 2014.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• Donati compatibility conditions on a surface - Application to shell theory

  Ciarlet, P. G. & Iosifescu, O., Jul 2014, In: Journal des Mathematiques Pures et Appliquees. 102, 1, p. 173-202

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Displacement Vector 100%
  • Shell Theory 100%
  • Vector Field 100%
  • Symmetric Matrix 75%
  • Boundary Condition 50%
  3 Citations (Scopus)

• Intrinsic formulation of the displacement-traction problem in linearized elasticity

  Ciarlet, P. G. & Mardare, C., Jun 2014, In: Mathematical Models and Methods in Applied Sciences. 24, 6, p. 1197-1216

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  • Displacement Field 100%
  • Strain Tensor 100%
  • Boundary Condition 100%
  • Tensor Field 100%
  • Elasticity 100%
  15 Citations (Scopus)

• On an equivalence theorem and its application to partial differential equations

  CIARLET, P. G., 1 Dec 2014.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review

• Remarks on a lemma by Jacques-Louis Lions

  Amrouche, C., Ciarlet, P. G. & Mardare, C., Sept 2014, In: Comptes Rendus Mathematique. 352, 9, p. 691-695

  Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

  Open Access

  • Open Subset 100%
  4 Citations (Scopus)
• 2013

  A New Class of Constrained Minimization Problems

  CIARLET, P. G., 1 Oct 2013.

  Research output: Conference Papers › RGC 31A - Invited conference paper (refereed items) › Yes › peer-review