A model of capillary phenomena in with subcritical growth
Calogero Vetro
Università di Palermo, Italy
Abstract
This paper deals with the nonlinear Dirichlet problem of capillary phenomena involving an equation driven by the -Laplacian-like di¤erential operator in . 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.
Cite this article
Calogero Vetro, A model of capillary phenomena in with subcritical growth. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 2, pp. 335–347
DOI 10.4171/RLM/894