Existence of solutions for fourth order elliptic equations of Kirchhoff type on RN

被引：0

作者：

Wang, Fanglei ^{[1
]}

An, Tianqing ^{[1
]}

An, Yukun ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 39期

关键词：

Kirchhoff type problems; variational methods; truncation method; NONLINEAR BOUNDARY-CONDITIONS; POSITIVE SOLUTIONS; BEAM EQUATION; MULTIPLICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the positive solutions to a class of fourth order elliptic equations of Kirchhoff type on R-N by using variational methods and the truncation method.

引用

页码：1 / 11

页数：11

共 15 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] Blow up at infinity of solutions of polyharmonic Kirchhoff systems [J].

Autuori, G. ;

Colasuonno, F. ;

Pucci, P. .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (2-4) :379-395

[3] LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS [J].

Autuori, Giuseppina ;

Colasuonno, Francesca ;

Pucci, Patrizia .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2012, 22 (02)

[4] Multiplicity of solutions for p(x)-polyharmonic elliptic Kirchhoff equations [J].

Colasuonno, Francesca ;

Pucci, Patrizia .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) :5962-5974

[5] On an elliptic equation of p-Kirchhoff type via variational methods [J].

Correa, Francisco Julio S. A. ;

Figueiredo, Giovany M. .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 74 (02) :263-277

[6] Existence of a positive solution to Kirchhoff type problems without compactness conditions [J].

Li, Yuhua ;

Li, Fuyi ;

Shi, Junping .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (07) :2285-2294

[7]

Ma T., 2007, Discrete Contin. Dyn. Syst, V2007, P694

[8] Existence results for a model of nonlinear beam on elastic bearings [J].

Ma, TF .

APPLIED MATHEMATICS LETTERS, 2000, 13 (05) :11-15

[9] Positive solutions for a nonlinear Kirchhoff type beam equation [J].

Ma, TF .

APPLIED MATHEMATICS LETTERS, 2005, 18 (04) :479-482

[10] Existence results and numerical solutions for a beam equation with nonlinear boundary conditions [J].

Ma, TF .

APPLIED NUMERICAL MATHEMATICS, 2003, 47 (02) :189-196

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