强不定问题的变分方法

Yanheng Ding
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引用次数: 233

摘要

单位的Lipschitz划分(Lipschitz正规性,正规规范空间的充分条件,规范空间上ODE的流动)局部凸拓扑向量空间上的变形,哈密顿系统中的点定理(哈密顿算子的谱,变分设置,连接结构,(C)序列,存在性和多重性)薛定谔方程的驻波非线性狄拉克方程的解扩散方程组的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Variational Methods for Strongly Indefinite Problems
Lipschitz Partitions of Unity (Lipschitz Normality, Sufficient Conditions of the Normal Gage Space, Flow of ODE on Gage Spaces) Deformations on Locally Convex Topological Vector Spaces Critical Point Theorems Homoclinics in Hamiltonian Systems (Spectrum of the Hamiltonian Operator, Variational Setting, Linking Structure, the (C) Sequences, Existence and Multiplicity) Standing Waves of Schrodinger Equations Solutions of Nonlinear Dirac Equations Solutions of Systems of Diffusion Equations.
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