Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 147, pp. 1-18.

Title: Generalized scalar curvature type equation 
       on complete Riemannian manifolds

Author: Mohammed Benalili (Univ. Aboubekr Belkaid, Tlemcen, Algerie)
        Youssef Maliki (Univ. Aboubekr Belkaid, Tlemcen, Algerie)

Abstract: 
  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 
  $K\subset M$ and some $\alpha \in (0,1)$.

Submitted November 26, 2004. Published December 13, 2004.
Math Subject Classifications: 58J05.
Key Words: Complete manifolds; p-Laplacian; critical Sobolev exponent.