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

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Original languageEnglish
Journal / PublicationJournal of Elliptic and Parabolic Equations
Online published12 Jun 2024
Publication statusOnline published - 12 Jun 2024

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

Research Area(s)

  • Nonlinear elasticity, Existence theory, Inverse function theorem, Minimizing solution