Regularity results on a class of doubly nonlocal problems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Giacomoni, Jacques¹  Goel, Divya²  Sreenadh, K.² 

[1] Univ Pau & Pays Adout, LMAP, UMR E2S, CNRS 5142, Bat IPRA,Ave Univ, F-64013 Pau, France

[2] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India

关键词: Choquard equation;    Fractional Laplacian;    Regularity;    Uniform bound;    Singular nonlinearity;    Local minimizers;   

DOI  :  10.1016/j.jde.2019.11.009

来源: Elsevier

【 摘 要 】

The purpose of this article is twofold. First, an issue of regularity of weak solution to the problem (P) (see below) is addressed. Secondly, we investigate the question of H-s versus C-0-weighted minimizers of the functional associated to problem (P) and then give applications to existence and multiplicity results. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free