An elliptic equation on n-dimensional manifolds
- Authors: Vetro C.
- Publication year: 2021
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/468078
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.