EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NON-DEGENERATE KIRCHHOFF TYPE PROBLEM WITH NONLINEAR BOUNDARY CONDITION

被引：0
|
作者：
Guimaraes, Mateus Balbino [1 ]
Hurtado, Elard Juarez [2 ]
Rodrigues, Rodrigo Da Silva [3 ]
机构：
[1] Inst Fed Sudeste Minas Gerais, Dept Educ & Ciencias, BR-36080001 Juiz De Fora, MG, Brazil
[2] Univ Estadual Paulista, Dept Matemat & Computacao, BR-19060900 Presidente Prudente, SP, Brazil
[3] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年
基金：
巴西圣保罗研究基金会;
关键词：
Variational methods; nonlinear elliptic equations; EQUATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of solutions for nonlinear elliptic partial differential equations with Steklov nonlinear boundary conditions involving a Kirchhoff type operator. By using variational and topological methods, we prove the existence and multiplicity of solutions. The results obtained are new even for the standard stationary Kirchhoff equation with nonlinear boundary condition involving the p-Laplacian operator.
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页数：12
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