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On Elliptic Problem with Singular Cylindrical Potential, a Concave Term, and Critical Caffarelli-Kohn-Nirenberg Exponent
Department of Mathematics, College of Science, Qassim University, Buraidah, Kingdom of Saudi Arabia
- 1 Department of Mathematics, College of Science, Qassim University, Buraidah, Kingdom of Saudi Arabia
Applied Mathematics·Volume 06 (2015)·Pages 1891–1901·Published 16 October 2015·DOI10.4236/am.2015.611166
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Abstract
In this paper, we establish the existence of at least four distinct solutions to an elliptic problem with singular cylindrical potential, a concave term, and critical Caffarelli-Kohn-Nirenberg exponent, by using the Nehari manifold and mountain pass theorem.
KeywordsSingular Cylindrical PotentialConcave TermCritical Caffarelli-Kohn-Nirenberg ExponentNehari ManifoldMountain Pass Theorem
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