Normalized solutions for Schrodinger-Poisson equations with general nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:481

Article

Chen, Sitong¹  Tang, Xianhua¹  Yuan, Shuai¹ 

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

关键词: Schrodinger-Poisson system;    Normalized solution;    Variational method;   

DOI  :  10.1016/j.jmaa.2019.123447

来源: Elsevier

【 摘 要 】

In this paper, we prove the existence of normalized solutions to the following Schrodinger-Poisson equation -Delta u + (vertical bar x vertical bar(-1) * vertical bar u vertical bar(2))u - f(u) = lambda u, x is an element of R-3, lambda is an element of R, where f is an element of C(R, l) satisfies more general conditions which cover the case f(u) similar to lulg-2u with q is an element of (3, 3) U (10/3, 6). Especially, some new analytical techniques are presented to overcome the difficulties due to the presence of three terms in the corresponding energy functional which scale differently. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free