An existence result for a nonhomogeneous problem in R related to nonlinear Hencky-type materials
نویسنده
چکیده
This paper investigates a nonlinear and non-homogeneous system of partial differential equations. The motivation comes from the fact that in a particular case the problem discussed here can be used in modeling the behavior of nonlinear Hencky-type materials. The main result of the paper establishes the existence of a nontrivial solution in an adequate functional space of Orlicz-Sobolev type by using Schauder’s fixed point theorem combined with adequate variational techniques. 2010 Mathematics Subject Classification: 35J50; 35D30; 74B05; 46E30.
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