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

作者：Le Vy Khoi^*

来源：Proceedings of the American Mathematical Society, 2011, 139(5): 1645-1658.

DOI：10.1090/S0002-9939-2010-10594-4

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.

• 出版日期2011-5