Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces

被引：1

作者：

Wu, Shujun ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266580, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2017年

关键词：

Kirchhoff elliptic equation; Orlicz-Sobolev spaces; Orlicz function; multiple solutions; POSITIVE SOLUTIONS; R-N;

D O I：

10.1186/s13661-017-0865-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of solutions of the Kirchhoff elliptic equations with nonlinearity in R-N. Using the ideas developed in Orlicz spaces and the technique of variation principle, we prove that there are at least three solutions in Orlicz-Sobolev spaces.

引用

页数：13

共 26 条

[1] Positive solutions for a quasilinear elliptic equation of Kirchhoff type [J].

Alves, CO ;

Corrêa, FJSA ;

Ma, TF .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) :85-93

[2]

[Anonymous], 2003, SOBOLEV SPACES

[3]

[Anonymous], 1883, Mechanik

[4] On some eigenvalue problem involving a non-homogeneous differential operator [J].

Aouaoui, Sami .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (10) :1421-1429

[5] Multiplicity result for some nonlocal anisotropic equation via nonsmooth critical point theory approach [J].

Aouaoui, Sami .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (02) :532-541

[6] KIRCHHOFF SYSTEMS WITH NONLINEAR SOURCE AND BOUNDARY DAMPING TERMS [J].

Autuori, Giuseppina ;

Pucci, Patrizia .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (05) :1161-1188

[7] Multiple solutions for a nonhomogeneous Dirichlet problem in Orlicz-Sobolev spaces [J].

Cammaroto, F. ;

Vilasi, L. .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) :11518-11527

[8] Multiple solutions for p-Kirchhoff equations in RN [J].

Chen, Caisheng ;

Song, Hongxue ;

Xiu, Zhonghu .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 86 :146-156

[9] Multiple solutions to the nonhomogeneous p-Kirchhoff elliptic equation with concave-convex nonlinearities [J].

Chen, Caisheng ;

Huang, Jincheng ;

Liu, Lihua .

APPLIED MATHEMATICS LETTERS, 2013, 26 (07) :754-759

[10]

Chen S.T., 1996, Geometry of Orlicz Space

← 1 2 3 →