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Multi-valued boundary value problems involving Leray-Lions operators and discontinuous nonlinearities |
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| Authors: | Simona DĂbuleanu Vicenţiu RĂdulescu |
| Affiliation: | (1) Department of Mathematics, University of Craiova, 1100 Craiova, Romania |
| Abstract: | We prove an existence result for a class of Dirichlet boundary value problems with discontinuous nonlinearity and involving a Leray-Lions operator. The proof combines monotonicity methods for elliptic problems, variational inequality techniques and basic tools related to monotone operators. Our work generalizes a result obtained in Carl [4]. |
| Keywords: | sub- and super-solution Leray-Lions operator maximal monotone graph pseudo-monotone operator variational inequality |
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