A range and existence theorem for pseudomonotone perturbations of maximal monotone operators
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- by Vy Khoi Le
- Proc. Amer. Math. Soc. 139 (2011), 1645-1658
- DOI: https://doi.org/10.1090/S0002-9939-2010-10594-4
- Published electronically: September 3, 2010
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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.References
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Bibliographic Information
- Vy Khoi Le
- Affiliation: Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, Missouri 65409
- Email: vy@mst.edu
- Received by editor(s): March 9, 2010
- Received by editor(s) in revised form: May 10, 2010
- Published electronically: September 3, 2010
- Communicated by: Nigel J. Kalton
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 1645-1658
- MSC (2010): Primary 35J85, 47H05, 47J20, 47J30
- DOI: https://doi.org/10.1090/S0002-9939-2010-10594-4
- MathSciNet review: 2763754