Remarks about a generalized pseudo-relativistic Hartree equation

被引：10

作者：

Bueno, H. ^{[1
]}

Miyagaki, O. H. ^{[2
]}

Pereira, G. A. ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil

[2] Univ Fed Juiz de Fora, Dept Matemat, BR-36036330 Juiz De Fora, MG, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 01期

关键词：

Variational methods; Fractional Laplacian; Hartree equations; NONLINEAR SCHRODINGER-EQUATION; FRACTIONAL LAPLACIAN; CHOQUARD EQUATION; EXTENSION PROBLEM; GROUND-STATES; INEQUALITY; REGULARITY; SOBOLEV; OPERATORS; GUIDE;

D O I：

10.1016/j.jde.2018.07.058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With appropriate hypotheses on the nonlinearity f, we prove the existence of a ground state solution u for the problem (-Delta + m(2))(sigma) u + Vu = (W * F(u)) f (u) in R-N, where 0 < sigma < 1, V is a bounded continuous potential and F the primitive of f. We also show results about the regularity of any solution of this problem. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：876 / 909

页数：34

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