ON CERTAIN NONLOCAL HARDY-SOBOLEV CRITICAL ELLIPTIC DIRICHLET PROBLEMS

被引：1

作者：

Fiscella, Alessio ^{[1
]}

Pucci, Patrizia ^{[2
]}

机构：

[1] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP, Brazil

[2] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2016年 / 21卷 / 5-6期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence, multiplicity and the asymptotic behavior of nontrivial solutions for nonlinear problems driven by the fractional Laplace operator (-Delta)(s) and involving a critical Hardy potential. In particular, we consider { (-Delta)(s)u - gamma u/vertical bar x vertical bar vertical bar(2s) = lambda u + theta f(x, u) + g(x, u) in Omega, u = 0 in R-N \ Omega, where Omega subset of R-N is a bounded domain, gamma, lambda and theta are real parameters, the function f is a subcritical nonlinearity, while g could be either a critical term or a perturbation.

引用

页码：571 / 599

页数：29

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