Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term-Reference-Cited by-同舟云学术

Constant sign and nodal solutions for superlinear (p, q)–equations with indefinite potential and a concave boundary term

Published:2020-05-30 Issue:1 Volume:10 Page:76-101
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Papageorgiou Nikolaos S.¹,Zhang Youpei²³

Affiliation:

1. Department of Mathematics, Zografou Campus , National Technical University , Athens , 15780 , Greece

2. School of Mathematics and Statistics , Central South University , Changsha , Hunan 410083 , P. R. China

3. Department of Mathematics , University of Craiova , Street A. I. Cuza No. 13, 200585 , Craiova , Romania

Abstract

Abstract We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave. Using variational tools from the critical point theory together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information and which are linearly ordered.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0101/pdf

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