Salta al contenuto principale
Passa alla visualizzazione normale.

CALOGERO VETRO

An elliptic equation on n-dimensional manifolds

Abstract

We consider an elliptic equation driven by a p-Laplacian-like operator, on an n-dimensional Riemannian manifold. The growth condition on the right-hand side of the equation depends on the geometry of the manifold. We produce a nontrivial solution by using a Palais–Smale compactness condition and a mountain pass geometry.