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p-LAPLACE EQUATIONS WITH MULTIPLE CRITICAL EXPONENTS AND SINGULAR CYLINDRICAL POTENTIAL 被引量:2
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作者 孙小妹 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1099-1112,共14页
In this paper, we deal with the following problem:By variational method, we prove the existenceof a nontrivial weak solution whenand the existence of a cylindricalweak solution when
关键词 p-Laplace equation cylindrical potential critical exponents
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Five Nontrivial Solutions of p-Laplacian Problems Involving Critical Exponents and Singular Cylindrical Potential 被引量:1
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作者 Mohammed el Mokhtar ould el Mokhtar 《Journal of Physical Science and Application》 2015年第2期163-172,共10页
In this paper, we establish the existence of at least five distinct solutions to a p-Laplacian problems involving critical exponents and singular cylindrical potential, by using the Nehari manifold, concentration-comp... In this paper, we establish the existence of at least five distinct solutions to a p-Laplacian problems involving critical exponents and singular cylindrical potential, by using the Nehari manifold, concentration-compactness principle and mountain pass theorem 展开更多
关键词 Nehari manifold concentration-compacmess principle critical Hardy-Sobolev exponent singular cylindrical potential mountain pass theorem nontrivial cylindrical solution.
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