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

被引：0

作者：

Dorota Bors

Robert Stańczy

机构：

[1] University of Lodz,Faculty of Mathematics and Computer Science

[2] Uniwersytet Wrocławski,Instytut Matematyczny

来源：

Journal of Fixed Point Theory and Applications | 2021年 / 23卷

关键词：

fractional laplacian; fixed point; integral equation; differential equation; cone compression and expansion; 35Q; 35J66; 35R11;

D O I：

暂无

中图分类号：

学科分类号：

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

共 50 条

[1] Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity
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[3] Existence and Multiplicity of Weak Positive Solutions to a Class of Fractional Laplacian with a Singular Nonlinearity
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[10] Multiplicity Results for the Fractional Laplacian in Expanding Domains
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