A MULTIPLICITY THEOREM FOR PARAMETRIC SUPERLINEAR (p, q)-EQUATIONS

被引：1

作者：

Onete, Florin-Iulian ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

Vetro, Calogero ^{[3
]}

机构：

[1] Liceul Tehnol Petre Banita, Calarasi 207170, Dolj, Romania

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

[3] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

来源：

OPUSCULA MATHEMATICA | 2020年 / 40卷 / 01期

关键词：

superlinear reaction; constant sign and nodal solutions; extremal solutions; nonlinear regularity; nonlinear maximum principle; critical groups; DOUBLE-PHASE PROBLEMS; ELLIPTIC-EQUATIONS; Q)-LAPLACIAN; MINIMIZERS; REGULARITY;

D O I：

10.7494/OpMath.2020.40.1.131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation 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.

引用

页码：131 / 149

页数：19

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