Study of a mixed problem for a nonlinear elasticity system by topological degree
DOI:
https://doi.org/10.24193/subbmath.2021.3.10Keywords:
Boundary conditions, nonlinear elasticity, mixed problem, Schauder’s fixed point theorem, topological degree, existence and uniqueness.Abstract
In this paper, we consider a mixed problem for a nonlinear elasticity system with laws of general behavior. The coefficients of elasticity depends on x meanwhile the density of the volumetric forces depends on the displacement. The main aim of this paper is to apply the Schauder’s fixed point theorem and the techniques of topological degree to prove a theorem of the existence and the uniqueness of the solution of the corresponding variational problem.
Mathematics Subject Classification (2010): 35J45, 35J55, 35A05, 35A07, 35A15.
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