EXISTENCE OF THREE SOLUTIONS FOR A DEGENERATE KIRCHHOFF-TYPE TRANSMISSION PROBLEM

被引：10
|
作者：
Cammaroto, F. [1 ]
Vilasi, L. [1 ]
机构：
[1] Univ Messina, Dept Math & Comp Sci, I-08166 Messina, Italy
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 7-9期
关键词：
Critical point; Degenerate Kirchhoff-type problem; Nonlinear transmission problem; p(x)-Laplacian;
D O I：
10.1080/01630563.2014.895752
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we establish the existence of three weak solutions for a nonlinear transmission problem involving degenerate nonlocal coefficients of p(x)-Kirchhoff-type. Our approach is of variational nature; the weak formulation takes place in suitable variable exponent Sobolev spaces.
引用
收藏
页码：911 / 931
页数：21
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