Nonlinear resonant problems with an indefinite potential and concave boundary condition

Papageorgiou Nikolaos S. and Scapellato Andrea: Nonlinear resonant problems with an indefinite potential and concave boundary condition. (2020)

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Abstract

We consider a nonlinear elliptic problem driven by the p-Laplacian plus and indefinite potential term. The reaction is (p − 1)-linear and resonant and the boundary term is concave. The problem is nonparametric. Using variational tools, together with truncation and perturbation techniques and critical groups, we show that the problem has at least three nontrivial smooth solutions.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2020
Number: 51
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.51
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 15-16. ; összefoglalás angol nyelven
Date Deposited: 2020. Dec. 01. 10:41
Last Modified: 2021. Oct. 20. 13:52
URI: http://acta.bibl.u-szeged.hu/id/eprint/70164

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