On fractional Choquard equations

被引：201

作者：

d'Avenia, Pietro ^{[1
]}

Siciliano, Gaetano ^{[2
]}

Squassina, Marco ^{[3
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, I-70125 Bari, Italy

[2] Univ Sao Paulo, Dept Matemat, BR-05508090 Sao Paulo, SP, Brazil

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

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2015年 / 25卷 / 08期

基金：

巴西圣保罗研究基金会;

关键词：

Fractional Laplacian; Choquard equation; existence; nonexistence; multiplicity; SCALAR FIELD-EQUATIONS; SCHRODINGER-EQUATIONS; EXISTENCE; DYNAMICS; UNIQUENESS;

D O I：

10.1142/S0218202515500384

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry as well as decays properties.

引用

页码：1447 / 1476

页数：30

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