%0 Journal Article
%T Abstract
%A Mohamed Benalili
%A Youssef Maliki
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X In this work, we investigate positive solutions for a quasilinear elliptic equation on complete manifold $M$. This equation extends to the $p$-Laplacian the equation of the prescribed scalar curvature. A minimizing sequence is constructed which converges to a non trivial solution belonging to $C^{1,alpha }(K)$ for any compact set $Ksubset M$ and some $alpha in (0,1)$.
%K Complete manifolds
%K p-Laplacian
%K critical Sobolev exponent.
%U http://ejde.math.txstate.edu/Volumes/2004/147/abstr.html