PERTURBATIONS OF A CRITICAL FRACTIONAL EQUATION

被引：27

作者：

Colorado, Eduardo ^{[1
,2
]}

de Pablo, Arturo ^{[1
]}

Sanchez, Urko ^{[3
]}

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain

[2] ICMAT CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28049, Spain

[3] Univ Carlos III Madrid, Leganes 28911, Spain

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 271卷 / 01期

关键词：

semilinear elliptic equations; fractional Laplacian; critical problem; ELLIPTIC-EQUATIONS; EXTENSION PROBLEM; LAPLACIAN; SOBOLEV; CONCAVE;

D O I：

10.2140/pjm.2014.271.65

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with the following fractional critical problem: {(-Delta)(alpha/2)u = vertical bar u vertical bar(2 alpha/(N-alpha))u + f(x) in Omega u = 0 on partial derivative Omega, where Omega subset of R-N is a regular bounded domain, 0 < alpha < 2 and N > alpha. Under appropriate conditions on the size of f, we prove existence and multiplicity of solutions.

引用

页码：65 / 85

页数：21

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