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An existence result for a nonhomogeneous problem in R2 related to nonlinear Hencky-type materials |
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| Authors: | Mihai Mih?ilescu Gheorghe Moro?anu |
| Institution: | 1. Department of Mathematics, University of Craiova, 200585 Craiova, Romania;2. “Simion Stoilow” Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania;3. Department of Mathematics, Central European University, 1051 Budapest, Hungary |
| Abstract: | 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. |
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