Maria Farcaseanu, Denisa Stancu-Dumitru
Abstract:
This article establishes the existence of solutions for a partial
differential equation involving a quasilinear elliptic operator
and a nonlocal term. The proofs of the main results are based on
Schauder's fixed point theorem combined with variational arguments.
Submitted April 15, 2015. Published November 30, 2015.
Math Subject Classifications: 35J60, 35J70, 35D30, 47J30, 58E05.
Key Words: Quasilinear elliptic equation; nonlocal term; weak solution;
Schauder's fixed point theorem; critical point.
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Maria Farcaseanu Department of Mathematics University of Craiova 200585 Craiova, Romania email: farcaseanu.maria@yahoo.com |
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Denisa Stancu-Dumitru Research group of the project PN-II-ID-PCE-2011-3-0075 ``Simion Stoilow" Institute of Mathematics of the Romanian Academy P.O. Box 1-764, 010702 Bucharest, Romania email: denisa.stancu@yahoo.com |
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