"A Range and Existence Theorem for Pseudomonotone Perturbations of Maxi" by Vy Khoi Le
 

Abstract

In this paper, we prove a range and existence theorem for multivalued pseudomonotone perturbations of maximal monotone operators. We assume a general coercivity condition on the sum of a maximal monotone and a pseudomonotone operator instead of a condition on the pseudomonotone operator only. An illustrative example of a variational inequality in a Sobolev space with variable exponent is given.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Pseudomonotone Perturbations; Range Theorem; Existence Theorems; Monotone Operators; Sobolev Spaces

International Standard Serial Number (ISSN)

0002-9939

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2011 American Mathematical Society, All rights reserved.

Publication Date

01 May 2011

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