Multiple Solutions to (p, q)-Laplacian Problems with Resonant Concave Nonlinearity

被引：27

作者：

Marano, Salvatore A. ^{[1
]}

Mosconi, Sunra J. N. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Catania, Dept Math & Comp Sci, Viale A Doria 6, I-95125 Catania, Italy

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

来源：

ADVANCED NONLINEAR STUDIES | 2016年 / 16卷 / 01期

关键词：

(p; q)-Laplacian; Resonance from the Left (Right); Concave Nonlinearity; Multiple Solutions; P-LAPLACIAN; ELLIPTIC PROBLEMS; DIRICHLET PROBLEM; NODAL SOLUTIONS; EQUATIONS;

D O I：

10.1515/ans-2015-5011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of multiple solutions to a Dirichlet problem involving the (p, q)-Laplacian is investigated via variational methods, truncation-comparison techniques, and Morse theory. The involved reaction term is resonant at infinity with respect to the first eigenvalue of -Delta(p) in W-0(1,p) (Omega) and exhibits a concave behavior near zero.

引用

页码：51 / 65

页数：15

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