Homological approach to problems with jumping non-linearity

被引：6

作者：

Maalaoui, Ali ^{[1
]}

Martino, Vittorio ^{[2
]}

机构：

[1] Amer Univ Ras Al Khaimah, Dept Math & Nat Sci, POB 10021, Ras Al Khaymah, U Arab Emirates

[2] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40127 Bologna, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 144卷

关键词：

Equivariant homology; Rabinowitz-Floer homology; Jumping nonlinearities; RABINOWITZ-FLOER HOMOLOGY; CHANGING-SIGN SOLUTIONS; CR-YAMABE EQUATION; 4TH-ORDER EQUATION; FUCIK SPECTRUM; HAMILTONIAN-SYSTEMS; SEMILINEAR PROBLEMS; PERIODIC-SOLUTIONS; MULTIPLE SOLUTIONS; ELLIPTIC PROBLEM;

D O I：

10.1016/j.na.2016.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use a perturbed version of the Rabinowitz-Floer homology to find solutions to PDE's with jumping nonlinearities. As applications, we find branches for the Fucik spectrum for the Laplace equation and for systems on manifolds that fiber over S-1. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：165 / 181

页数：17

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