Existence and multiplicity results for a semilinear elliptic problem

被引：4

作者：

Castro, Alfonso ^{[1
]}

Cossio, Jorge ^{[2
]}

Herron, Sigifredo ^{[2
]}

Velez, Carlos ^{[2
]}

机构：

[1] Harvey Mudd Coll, Dept Math, Claremont, CA 91711 USA

[2] Univ Nacl Colombia Sede Medellin, Escuela Matemat, Apartado Aereo 3840, Medellin, Colombia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 02期

关键词：

Semilinear elliptic equation; Variational methods; Local degree; A priori estimates; LINEAR DIRICHLET PROBLEM; OPERATOR-EQUATIONS;

D O I：

10.1016/j.jmaa.2019.03.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish sufficient conditions for an asymptotically linear elliptic boundary value problem to have at least five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We make extensive use of variational methods and characterizations of the local degree of critical points. Furthermore, uniqueness and qualitative properties of the solutions are investigated. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1493 / 1501

页数：9

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