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

Library of Congress Subject Headings

Existence theorems
Monotone operators
Sobolev spaces

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2011 American Mathematical Society, All rights reserved.

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