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

2003/02/13 by Simona Dabuleanu, Vicenţiu D. Rădulescu, Dabuleanu, Simona +2
Computer Science · Mathematics · #35J65 #47H10 #47J25 #58J32 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35J65 #msc:47H10 #msc:47J25 #msc:58J32

paper · pdf · doi:10.48550/arxiv.math/0302159

A paraitre dans Rendiconti Circolo Matematico Palermo

arxiv created 2003/02/13 · openalex publication_date 2003/02/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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