Multiple solutions for superlinear double phase Neumann problems

被引：0

作者：

Nikolaos S. Papageorgiou

Vicenţiu D. Rădulescu

Youpei Zhang

机构：

[1] National Technical University,Department of Mathematics, Zografou Campus

[2] AGH University of Science and Technology,Faculty of Applied Mathematics

[3] Central South University,School of Mathematics and Statistics

[4] University of Craiova,Department of Mathematics

来源：

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2022年 / 116卷

关键词：

Double phase; Musielak-Orlicz-Sobolev; Constant sign and nodal solutions; Nehari manifold; Superlinear reaction; 35J75 (Primary); 35A16; 35B50; 35B51; 35J20; 35J60; 47J15; 58E05; 58E07 (Secondary);

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a double phase Neumann problem with a superlinear reaction which need not satisfy the Ambrosetti-Rabinowitz condition. Using the Nehari manifold method, we show that the problem has at least three nontrivial bounded ground state solutions, all with sign information (positive, negative and nodal).

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