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
p-Laplacian problems with nonlinearities interacting with the spectrum
CANDELA, Anna Maria;SALVATORE, Addolorata
2013-01-01
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 INdAMFile in questo prodotto:
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