Dissertação de Mestrado
Problemas de minimização com singularidades
Fecha
2013-03-26Autor
Leonel Giacomini Delatorre
Institución
Resumen
This work is concerned with existence results of ground state solutions for the following class of degenerate semilinear elliptic equations defined on RN. We consider the case N > 3, the parameters 0 6 a 6 (N - 2)/2, a 6 b 6 a + 1, l 2 R and involving the critical exponent of Hardy-Sobolev p = p(a, b) := 2N N-2+2(b-a) . We look for solutions of the problems (P1) and (P2) in the Sobolev space D1,2 a (RN) and we prove versions of a Concentration-Compactness Lemma to obtain existence results.