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A RANGE AND EXISTENCE THEOREM FOR PSEUDOMONOTONE PERTURBATIONS OF MAXIMAL MONOTONE OPERATORS

By Vy Khoi Le and Communicated Nigel J. Kalton

Abstract

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. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.4877
Provided by: CiteSeerX
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