Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction

被引：12

作者：

Guarnotta, Umberto ^{[1
]}

Marano, Salvatore A. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

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

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2019年 / 30卷 / 02期

关键词：

Robin problem; nodal solutions; indefinite potential; locally defined reaction; NONLINEAR NEUMANN PROBLEMS; ELLIPTIC-EQUATIONS; P-LAPLACIAN;

D O I：

10.4171/RLM/847

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Robin boundary-value problem with non-homogeneous differential operator, indefinite potential, and reaction defined only near zero is investigated. The existence of one or more nodal solutions is achieved by using truncation, perturbation, and comparison techniques, results from Morse theory, besides variational methods.

引用

页码：269 / 294

页数：26

共 28 条

[1] Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction [J].

D'Agui, Giuseppina ;

Marano, Salvatore A. ;

Papageorgiouc, Nikolaos S. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 433 (02) :1821-1845

[2] POSITIVE AND NODAL SOLUTIONS FOR PARAMETRIC NONLINEAR ROBIN PROBLEMS WITH INDEFINITE POTENTIAL [J].

Fragnelli, Genni ;

Mugnai, Dimitri ;

Papageorgiou, Nikolaos S. .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (11) :6133-6166

[3]

Fuchs M., 1998, ABSTR APPL ANAL, V3, P41, DOI DOI 10.1155/S1085337598000438

[4]

Gasinski L., 2006, SERIES MATH ANAL APP, V9

[5]

Gasinski L., 2016, Exercises in Analysis. Part 2. Nonlinear Analysis

[6]

Gasinski L, 2008, ADV NONLINEAR STUD, V8, P843

[7]

Granas A, 2003, Fixed point theory, DOI DOI 10.1007/978-0-387-21593-8

[8] Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential [J].

He, Tieshan ;

Huang, Yehui ;

Liang, Kaihao ;

Lei, Youfa .

APPLIED MATHEMATICS LETTERS, 2017, 71 :67-73

[9] On nodal solutions for nonlinear elliptic equations with a nonhomogeneous differential operator [J].

He, Tieshan ;

Yan, Hongming ;

Sun, Zhaohong ;

Zhang, Meng .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 118 :41-50

[10]

Hu S., 1997, MATH APPL, VI, P419

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