Existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems

被引：4

作者：

Alimohammady, Mohsen ^{[1
]}

Alves, Claudianor O. ^{[2
]}

Amiri, Hassan Kaffash ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Univ Fed Campina Grande, Dept Math, Campina Grande, Paraiba, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 10期

关键词：

SIGN-CHANGING SOLUTIONS; NONLINEAR SCHRODINGER-EQUATIONS; CONCENTRATION BEHAVIOR; ELLIPTIC EQUATION;

D O I：

10.1063/1.5082847

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with the existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems in whole R-3. The multiplicity of solutions is established by variational methods and Ljusternik-Schnirelmann theory. Published under license by AIP Publishing.

引用

页数：15

共 43 条

[1] Existence and multiplicity of solutions for a class of elliptic problem with critical growth
Alves, Claudianor O.
Barros, Luciano M.
[J]. MONATSHEFTE FUR MATHEMATIK, 2018, 187 (02): : 195 - 215
[2] Multi-bump solutions for a Kirchhoff-type problem
Alves, Claudianor O.
Figueiredo, Giovany M.
[J]. ADVANCES IN NONLINEAR ANALYSIS, 2016, 5 (01) : 1 - 26
[3] Nonlinear perturbations of a periodic Kirchhoff equation in RN
Alves, Claudianor O.
Figueiredo, Giovany M.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (05) : 2750 - 2759
[4] Positive solutions for a quasilinear elliptic equation of Kirchhoff type
Alves, CO
Corrêa, FJSA
Ma, TF
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) : 85 - 93
[5] Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity
Alves, CO
Ding, YH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (02) : 508 - 521
[6] Alves CO., 2001, COMMUNICATIONS APPL, V8, P43, DOI DOI 10.1051/cocv/2013068
[7] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[8] [Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1
[9] MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT OR WITH A NONSYMMETRIC TERM
AZORERO, JG
ALONSO, IP
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 323 (02) : 877 - 895
[10] Azzollini A, 2012, DIFFER INTEGRAL EQU, V25, P543

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