A model of capillary phenomena in RN with sub-critical growth
- Authors: Vetro C.
- Publication year: 2020
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/432809
Abstract
This paper deals with the nonlinear Dirichlet problem of capillary phenomena involving an equation driven by the p-Laplacian-like di¤erential operator in RN. We prove the existence of at least one nontrivial nonnegative weak solution, when the reaction term satisfies a sub-critical growth condition and the potential term has certain regularities. We apply the energy functional method and weaker compactness conditions.