p-Laplacian problems with nonlinearities interacting with the spectrum

Abstract

The aim of this paper is investigating the existence and the multiplicity of solutions of a quasilinear elliptic problem of p-Laplacian type on an open bounded domain of $R^N$ with smooth boundary and the nonlinearity g behaves as $u^{p-1}$ at infinity. The main tools of the proof are some abstract critical point theorems, but extended to Banach spaces, and two sequences of quasi-eigenvalues for the p-Laplacian operator. The research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM


Tutti gli autori

  • SALVATORE A.;CANDELA A.M.

Titolo volume/Rivista

Non Disponibile


Anno di pubblicazione

2013

ISSN

1021-9722

ISBN

Non Disponibile


Numero di citazioni Wos

8

Ultimo Aggiornamento Citazioni

Non Disponibile


Numero di citazioni Scopus

8

Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

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