Study of a nonlinear Kirchhoff equation with non-homogeneous material

被引：58

作者：

Figueiredo, Giovany M. ^{[1
]}

Morales-Rodrigo, Cristian ^{[2
]}

Santos Junior, Joao R. ^{[1
]}

Suarez, Antonio ^{[2
]}

机构：

[1] Fed Univ Para, Fac Matemat, BR-66075110 Belem, Para, Brazil

[2] Univ Seville, Fac Matemat, Dpto Ecuaciones Diferenciales & Anal Numer, Seville 41012, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 416卷 / 02期

关键词：

Kirchhoff equation; Non-homogeneous material; Bifurcation methods; SIGN-CHANGING SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; R-N; MULTIPLE SOLUTIONS; CRITICAL GROWTH; ELLIPTIC EQUATION; EXISTENCE; BEHAVIOR;

D O I：

10.1016/j.jmaa.2014.02.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence and uniqueness of positive solution. The main novelty is the inclusion of non-homogeneous term making the problem without a variational structure. We use mainly bifurcation arguments to get the results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：597 / 608

页数：12

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