Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity

被引：0

作者：

Bors, Dorota ^{[1
]}

Stanczy, Robert ^{[2
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland

[2] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 04期

关键词：

fractional laplacian; fixed point; integral equation; differential equation; cone compression and expansion; POSITIVE SOLUTIONS; EQUATIONS; REGULARITY;

D O I：

10.1007/s11784-021-00915-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and multiplicity results for Dirichlet BVPs with the fractional Laplacian are established depending on the range of parameter and behavior of the nonlinearity at zero and at infinity.

引用

页数：16

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