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arxiv: math/0302159 · v1 · submitted 2003-02-13 · 🧮 math.AP

Multi-valued boundary value problems involving Leray-Lions operators and discontinuous nonlinearities

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keywords problemsboundarydiscontinuousinvolvingleray-lionsoperatorsvaluebasic
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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.

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