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
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)