Existence and uniqueness of minimizing solution for a nonlinear clamped cylindrical shell model

Trung Hieu Giang

doi:10.1007/s41808-024-00286-4

Existence and uniqueness of minimizing solution for a nonlinear clamped cylindrical shell model

Trung Hieu Giang^*

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this paper, by using the inverse function theorem, we will establish the existence of a solution to the nonlinear clamped cylindrical shell model around particular solutions associated with specific applied forces. Furthermore, we will also prove that the solution found in this fashion is also the unique minimizer to the associated nonlinear energy functional.

© Orthogonal Publisher and Springer Nature Switzerland AG 2024

Original language	English
Pages (from-to)	979-995
Journal	Journal of Elliptic and Parabolic Equations
Volume	10
Issue number	2
Online published	12 Jun 2024
DOIs	https://doi.org/10.1007/s41808-024-00286-4
Publication status	Published - Dec 2024

Funding

This research received no external funding.

Research Keywords

Nonlinear elasticity
Existence theory
Inverse function theorem
Minimizing solution

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10.1007/s41808-024-00286-4

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abstract = "In this paper, by using the inverse function theorem, we will establish the existence of a solution to the nonlinear clamped cylindrical shell model around particular solutions associated with specific applied forces. Furthermore, we will also prove that the solution found in this fashion is also the unique minimizer to the associated nonlinear energy functional.{\textcopyright} Orthogonal Publisher and Springer Nature Switzerland AG 2024",

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TY - JOUR

T1 - Existence and uniqueness of minimizing solution for a nonlinear clamped cylindrical shell model

AU - Giang, Trung Hieu

PY - 2024/12

Y1 - 2024/12

N2 - In this paper, by using the inverse function theorem, we will establish the existence of a solution to the nonlinear clamped cylindrical shell model around particular solutions associated with specific applied forces. Furthermore, we will also prove that the solution found in this fashion is also the unique minimizer to the associated nonlinear energy functional.© Orthogonal Publisher and Springer Nature Switzerland AG 2024

AB - In this paper, by using the inverse function theorem, we will establish the existence of a solution to the nonlinear clamped cylindrical shell model around particular solutions associated with specific applied forces. Furthermore, we will also prove that the solution found in this fashion is also the unique minimizer to the associated nonlinear energy functional.© Orthogonal Publisher and Springer Nature Switzerland AG 2024

KW - Nonlinear elasticity

KW - Existence theory

KW - Inverse function theorem

KW - Minimizing solution

U2 - 10.1007/s41808-024-00286-4

DO - 10.1007/s41808-024-00286-4

M3 - RGC 21 - Publication in refereed journal

SN - 2296-9020

VL - 10

SP - 979

EP - 995

JO - Journal of Elliptic and Parabolic Equations

JF - Journal of Elliptic and Parabolic Equations

IS - 2

ER -

Existence and uniqueness of minimizing solution for a nonlinear clamped cylindrical shell model

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