Existence results for a doubly nonlocal equation

被引：23

作者：

d’Avenia P. ^{[1
]}

Siciliano G. ^{[2
]}

Squassina M. ^{[3
]}

机构：

[1] Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via Orabona 4, Bari

[2] Departamento de Matemática, Universidade de São Paulo, Rua do Matão, 1010, São Paulo, 05508-090, SP

[3] Dipartimento di Informatica, Università degli Studi di Verona, Cá Vignal 2, Strada Le Grazie 15, Verona

来源：

São Paulo Journal of Mathematical Sciences | 2015年 / 9卷 / 2期

基金：

巴西圣保罗研究基金会;

关键词：

Choquard equation; Existence; Fractional Laplacian; Multiplicity; Nonexistence;

D O I：

10.1007/s40863-015-0023-3

中图分类号：

学科分类号：

摘要：

In this note we expose some results proved in d’Avenia et al. [8] concerning an elliptic problem in RN which involves two nonlocal operators: the fractional Laplacian and a convolution term of Hartree type. This equation has been called fractional Choquard equation. The results obtained concern regularity of weak solutions, existence and properties of ground states, as well as multiplicity and nonexistence of solutions. © 2015, Instituto de Matemática e Estatística da Universidade de São Paulo.

引用

页码：311 / 324

页数：13

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