Sign-changing critical points from linking type theorems
Sign-changing critical points from linking type theorems
复制标题
DOI：
10.1090/s0002-9947-06-03852-9
复制
发表时间：
2006-12
影响因子：
1.3
通讯作者：
M. Schechter;W. Zou
中科院分区：
文献类型：
--
作者：
M. Schechter;W. Zou
本文建立了变号临界点定理与M.Scheck hter的链接型定理和P.Rabinowitz的鞍点定理之间的关系。将抽象结果应用于研究非线性薛定谔方程-Δu+V(X)u=f(x，u)，u∈H1(RN)的变号解的存在性，其中f(x，u)为Caratheodory函数.考虑了跳跃或振荡的非线性和双共振问题。
In this paper, the relationships between sign-changing critical point theorems and the linking type theorems of M. Schechter and the saddle point theorems of P. Rabinowitz are established. The abstract results are applied to the study of the existence of sign-changing solutions for the nonlinear Schrodinger equation - Δu+V(x)u = f(x,u),u ∈ H 1 (R N ), where f(x, u) is a Caratheodory function. Problems of jumping or oscillating nonlinearities and of double resonance are considered.