The Fucik spectrum of the p-Laplacian and jumping nonlinear problems

被引：1
|
作者：
Zhang, Jing [1 ]
机构：
[1] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Sch Math Sci, Harbin 150025, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fucik spectrum; p-Laplacian; Jumping nonlinear problems; Cohomological index;
D O I：
10.1016/j.jmaa.2015.01.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of a nontrivial curve in the Fucik spectrum of the p-Laplacian using the sequence of minimax eigenvalues constructed by cohomological index. Furthermore, we study the solvability of jumping nonlinear problems: {-Delta(p)u = alpha(u(+))(P-1) - beta(u(-))(p-1) + f, x is an element of Omega, u = 0, x is an element of Omega. (C) 2015 Published by Elsevier Inc.
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页码：935 / 952
页数：18
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