Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 12
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Original Articles

Quasilinear elliptic inclusions of Clarke's gradient type under local growth conditions

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Pages 1527-1540 | Received 05 May 2006, Published online: 11 Dec 2006
 

Abstract

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.

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