A model of capillary phenomena in RN with sub-critical growth

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3 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)335-347
Numero di pagine13
RivistaATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI
Volume31
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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