1/2-Laplacian problems with exponential nonlinearity

被引：85

作者：

Iannizzotto, Antonio ^{[1
]}

Squassina, Marco ^{[1
]}

机构：

[1] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 414卷 / 01期

关键词：

Fractional Laplacian; Trudinger-Moser inequality; Nonlocal equations; INEQUALITY; TRUDINGER; EQUATIONS; SPACES;

D O I：

10.1016/j.jmaa.2013.12.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：372 / 385

页数：14

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