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
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.
2000 Mathematical Subject Classifications: 35A15, 35B33, and 35J70.
Mathematics Subject Classifications
(2000): 35A15, 35B33, and 35J70.
Keywords: Quasilinear elliptic equations, Nehari Manifolds, critical Hardy-Sobolev exponent.
of the file:
rp20-08.pdf.gz (gzipped PDF)
Sept. 12, 2008
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