%0 Journal Article
%T Lp estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities
%A Dimiter Vassilev
%J Mathematics
%D 2006
%I arXiv
%X Motivated by the equation satisfied by the extremals of certain Hardy-Sobolev type inequalities, we show sharp $L^q$ regularity for finite energy solutions of p-laplace equations involving critical exponents and possible singularity on a sub-space of $\mathbb{R}^n$, which imply asymptotic behavior of the solutions at infinity. In addition, we find the best constant and extremals in the case of the considered $L^2$ Hardy-Sobolev inequality.
%U http://arxiv.org/abs/math/0601662v3