MULTIPLE SOLUTIONS FOR DIRICHLET NONLINEAR BVPS INVOLVING FRACTIONAL LAPLACIAN

被引：4

作者：

Kulczycki, Tadeusz ^{[1
]}

Stanczy, Robert ^{[2
]}

机构：

[1] Wroclaw Univ Technol, Inst Matemat & Informat, PL-50370 Wroclaw, Poland

[2] Univ Wroclawski, Inst Math, PL-50384 Wroclaw, Poland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2014年 / 19卷 / 08期

关键词：

Superlinear BVPs; elliptic equation; fractional Laplacian; multiple solutions; POSITIVE SOLUTIONS; REGULARITY; EXISTENCE; EQUATIONS;

D O I：

10.3934/dcdsb.2014.19.2581

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of at least two solutions to superlinear integral equation in cone is proved using the Krasnosielskii Fixed Point Theorem. The result is applied to the Dirichlet BVPs with the fractional Laplacian.

引用

页码：2581 / 2591

页数：11

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