A model of capillary phenomena in with subcritical growth

  • Calogero Vetro

    Università di Palermo, Italy
A model of capillary phenomena in $\mathbb R^N$ with subcritical growth cover

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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