On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function |
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Authors: | Rodrigo da Silva Rodrigues |
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Institution: | Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, 13083-859, Campinas, SP, Brazil |
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Abstract: | In this paper, we deal with the existence and nonexistence of nonnegative nontrivial weak solutions for a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and a sign-changing function. Some existence results are obtained by splitting the Nehari manifold and by exploring some properties of the best Hardy-Sobolev constant together with an approach developed by Brezis and Nirenberg. |
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Keywords: | 35A15 35B33 35J70 |
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