On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function
نویسنده
چکیده
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 Nerahi manifold and by exploring some properties of the best Hardy-Sobolev constant together with an approach developed by Brezis and Nirenberg. Keyword. Quasilinear elliptic equations, Nehari Manifolds, critical Hardy-Sobolev exponent. 2000 Mathematical Subject Classifications: 35A15, 35B33, and 35J70.
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