Study of a nonlinear Kirchhoff equation with non-homogeneous material

被引：54
|
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
收藏
页码：597 / 608
页数：12
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