Relatório de pesquisa 20/08

On Elliptic Problems Involving Critical Hardy-Sobolev Exponents and Sign-Changing Function, Rodrigo da Silva Rodrigues, submitted  Sept.12.

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.
Key words: 
2000 Mathematical Subject Classifications: 35A15, 35B33, and 35J70.

Mathematics Subject Classifications (2000):  35A15, 35B33, and 35J70.

Quasilinear elliptic equations, Nehari Manifolds, critical Hardy-Sobolev exponent.

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Sept. 12, 2008


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