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RESEARCH PRODUCT

A model of capillary phenomena in RN with subcritical growth

Calogero Vetro

subject

Capillary phenomenaDirichlet boundary value problemSettore MAT/05 - Analisi MatematicaCapillary actionGeneral MathematicsSub criticalMechanicsSobolev spaceP-Laplacian-like operatorMathematics

description

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.

https://doi.org/10.4171/rlm/894