Resonant Neumann problems with indefinite and unbounded potential

被引：0
|
作者：
Papageorgiou, Nikolaos S. [1 ]
Radulescu, Vicentiu D. [2 ,3 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21413, Saudi Arabia
[3] Acad Romana, Simion Stoilow Inst Math, Bucharest 014700, Romania
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 40卷
关键词：
Indefinite and unbounded potential; Reduction method; Resonance; Unique continuation property; Regularity; Critical groups; ELLIPTIC-EQUATIONS;
D O I：
10.1016/j.aml.2014.09.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we report on some recent results obtained in our joint paper Papageorgiou and Radulescu (in press). We establish multiplicity properties for a class of semilinear Neumann problems driven by the Laplacian plus on unbounded and indefinite potential. The reaction is a Caratheodory function which exhibits linear growth near +/-infinity. We allow for resonance to occur with respect to a nonprincipal nonnegative eigenvalue. The approach combines critical point theory, Morse theory and the Lyapunov Schmidt method. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：49 / 52
页数：4
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