Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions

被引：2

作者：

Chu, Chang-Mu ^{[1
]}

机构：

[1] Guizhou Minzu Univ, Coll Sci, Guiyang 550025, Guizhou, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

Kirchhoff type problem; critical exponent; concave nonlinearity; sign-changing weight functions; variational methods; CONCAVE-CONVEX NONLINEARITIES; ELLIPTIC EQUATION; CRITICAL GROWTH; EXISTENCE;

D O I：

10.1186/1687-2770-2014-19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of a class of Kirchhoff type problems with critical exponent, concave nonlinearity, and sign-changing weight functions. By means of variational methods, the multiplicity of the positive solutions to this problem is obtained.

引用

页数：10

共 32 条

[1]

Ahmed H, 2011, ELECTRON J DIFFER EQ, V2011, P105

[2] ON A CLASS OF NONLOCAL ELLIPTIC PROBLEMS WITH CRITICAL GROWTH [J].

Alves, C. O. ;

Correa, F. J. S. A. ;

Figueiredo, G. M. .

DIFFERENTIAL EQUATIONS & APPLICATIONS, 2010, 2 (03) :409-417

[3] 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

[4]

Ambrosetti A., 1973, J FUNCT ANAL, V14, P347

[5] Existence of three solutions for some equation of Kirchhoff type involving variable exponents [J].

Aouaoui, Sami .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (13) :7184-7192

[6] Existence Results for an Elliptic Equation of Kirchhoff-Type with Changing Sign Data [J].

Azzouz, N. ;

Bensedik, A. .

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2012, 55 (01) :55-66

[7] On an elliptic equation of Kirchhoff-type with a potential asymptotically linear at infinity [J].

Bensedik, Ahmed ;

Bouchekif, Mohammed .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (5-6) :1089-1096

[8] A RELATION BETWEEN POINTWISE CONVERGENCE OF FUNCTIONS AND CONVERGENCE OF FUNCTIONALS [J].

BREZIS, H ;

LIEB, E .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (03) :486-490

[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] The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions [J].

Chen, Ching-yu ;

Kuo, Yueh-cheng ;

Wu, Tsung-fang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (04) :1876-1908

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