The sign-changing solutions for nonlinear elliptic problem with Carrier type

被引：6
|
作者：
Jin, Fengfei [1 ]
Yan, Baoqiang [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 487卷 / 02期
关键词：
Fixed-point index; Sign-changing solutions; Elliptic problem with Carrier type; KIRCHHOFF-TYPE PROBLEMS; POSITIVE SOLUTIONS; UNIQUENESS RESULT; EXISTENCE; EQUATION; SYSTEM;
D O I：
10.1016/j.jmaa.2020.124002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the fixed-point index method, we are concerned with the existence of sign-changing solutions of the following problem { - (a + b integral(Omega) vertical bar u(x)vertical bar gamma dx) Delta u - integral(u), x in Omega, (0, 1) u(x) - 0, x on partial derivative Omega, where a > 0, b > 0 and Omega subset of R-N is a bounded open set with smooth boundary and gamma >= 1. (C) 2020 Elsevier Inc. All rights reserved.
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页数：24
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