Constant sign and nodal solutions for superlinear double phase problems-Reference-Cited by-同舟云学术

Constant sign and nodal solutions for superlinear double phase problems

Published:2019-11-26 Issue:4 Volume:14 Page:613-626
ISSN:1864-8258
Container-title:Advances in Calculus of Variations
language:en
Short-container-title:

Author:

Gasiński Leszek¹,Papageorgiou Nikolaos S.²

Affiliation:

1. Department of Mathematics , Pedagogical University of Cracow , Podchorazych 2, 30-084 Cracow , Poland

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

Abstract

Abstract We consider a double phase problems with unbalanced growth and a superlinear reaction, which need not satisfy the Ambrosetti–Rabinowitz condition. Using variational tools and the Nehari method, we show that the Dirichlet problem has at least three nontrivial solutions, a positive solution, a negative solution and a nodal solution. The nodal solution has exactly two nodal domains.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2019-0040/pdf

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