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：
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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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