On a pure traction problem for the nonlinear elasticity system in Sobolev spaces with variable exponents
DOI:
https://doi.org/10.24193/subbmath.2022.1.12Keywords:
Spaces of Lebesgue and Sobolev with variable exponents, nonlinear elasticity system, operator of Leray-Lions, existence, uniqueness, Neumann problem.Abstract
The paper deals with a nonlinear elasticity system with nonconstant coefficients. The existence and uniqueness of the solution of Neumann’s problem is proved using Galerkin techniques and monotone operator theory, in Sobolev spaces with variable exponents.
Mathematics Subject Classification (2010): 35J45, 35J55, 35A05, 35A07, 35A15.
Received 09 June 2019; Accepted 21 August 2019.
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