6533b86cfe1ef96bd12c8b0b
RESEARCH PRODUCT
A model of capillary phenomena in RN with subcritical growth
Calogero Vetrosubject
Capillary phenomenaDirichlet boundary value problemSettore MAT/05 - Analisi MatematicaCapillary actionGeneral MathematicsSub criticalMechanicsSobolev spaceP-Laplacian-like operatorMathematicsdescription
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.
year | journal | country | edition | language |
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2020-06-30 | Rendiconti Lincei - Matematica e Applicazioni |