Rabinowitz-Floer homology for superquadratic Dirac equations on compact spin manifolds

被引：20

作者：

Maalaoui, Ali ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, Hill Ctr Math Sci, Piscataway, NJ 08854 USA

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2013年 / 13卷 / 01期

关键词：

Rabinowitz-Floer homology; Dirac operator; ELLIPTIC-EQUATIONS; HILBERT-SPACES; MORSE HOMOLOGY; INEQUALITY; OPERATOR; INDEXES; SYSTEM;

D O I：

10.1007/s11784-013-0116-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the properties of a semilinear problem on a spin manifold involving the Dirac operator through the construction of Rabinowitz-Floer homology groups. We give several existence results for subcritical and critical nonlinearities as application of the computation of the different homologies.

引用

页码：175 / 199

页数：25

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