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.

引用

页码：935 / 952

页数：18

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