Quasilinear elliptic inclusions of Clarke's gradient type under local growth conditions
We consider a class of elliptic inclusions under Dirichlet boundary conditions involving multifunctions of Clarke's generalized gradient that satisfies only a one-sided local growth condition. An appropriate modification of the associated potential function along with truncation techniques will allow us to apply the theory of multivalued pseudomonotone operators for obtaining existence and comparison results under only one-sided local growth conditions on Clarke's generalized gradient.
Keywords: p-Laplacian; Clarke's generalized gradient; Elliptic inclusions; Multivalued pseudomonotone operators; One-sided local growth conditions; Sub-supersolution
Document Type: Research Article
Affiliations: 1: Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, Germany 2: Départment de Mathématiques, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France
Publication date: 01 December 2006
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