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.
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页码：876 / 909
页数：34
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