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带跳跃非线性边界的p-Laplacian问题

杨菲菲 章国庆 刘三阳

应用数学2012,Vol.25Issue(1):84-89,6.
应用数学2012,Vol.25Issue(1):84-89,6.

带跳跃非线性边界的p-Laplacian问题

On the p-Laplacian Problems with Jumping Nonlinear Boundary Conditions

杨菲菲 1章国庆 1刘三阳2

作者信息

  • 1. 上海理工大学理学院,上海200093
  • 2. 西安电子科技大学理学院,陕西西安710071
  • 折叠

摘要

Abstract

Using the cohomological index theory introduced by Fadell and Rabinowitz,we investigate a class of p-Laplacian eigenvalue problems with indefinite nonlinear boundary conditions.Furthermore,we prove the existence of nontrivial solution for a class of p-Laplacian problems with jumping nonlinear boundary conditions by the linking arguments.

关键词

特征值问题/同调指标/环绕定理

Key words

Eigenvalue problem/Cohomological index/Linking

分类

数理科学

引用本文复制引用

杨菲菲,章国庆,刘三阳..带跳跃非线性边界的p-Laplacian问题[J].应用数学,2012,25(1):84-89,6.

基金项目

Supported by the Shanghai Natural Science Foundation Project(11ZR1424500),and the Leading Academic Discipline Project of Shanghai Municipal Government Project(S30501) (11ZR1424500)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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