Multiple solutions for superlinear double phase Neumann problems

被引：2

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

Zhang, Youpei ^{[3
,4
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[4] Univ Craiova, Dept Math, St AI Cuza 13, Craiova 200585, Romania

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 01期

关键词：

Double phase; Musielak-Orlicz-Sobolev; Constant sign and nodal solutions; Nehari manifold; Superlinear reaction; SIGN; REGULARITY; EXISTENCE; CALCULUS;

D O I：

10.1007/s13398-021-01164-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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).

引用

页数：21

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