An elliptic problem involving critical Choquard and singular discontinuous nonlinearity

被引：0
|
作者：
Anthal, Gurdev Chand [1 ]
Giacomoni, Jacques [3 ]
Sreenadh, Konijeti [1 ,2 ]
机构：
[1] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India
[2] Indian Inst Technol Delhi Abu Dhabi, Zayed, U Arab Emirates
[3] LMAP, UMR E2S UPPA CNRS 5142, Bat IPRA, Ave Univ, F-64013 Pau, France
来源：
ADVANCED NONLINEAR STUDIES | 2025年
关键词：
critical Choquard nonlinearity; Hardy-Littlewood-Sobolev inequality; existence results; discontinuous singular nonlinearity; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; CRITICAL GROWTH; MULTIPLICITY; EXISTENCE;
D O I：
10.1515/ans-2023-0178
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see ( P (lambda) ) below). By applying variational methods and using the notion of generalized gradients for Lipschitz continuous functional, we obtain the existence and the multiplicity of weak solutions for some suitable range of lambda and gamma. Finally by studying the L-infinity-estimates and boundary behaviour of weak solutions, we prove their H & ouml;lder and Sobolev regularity.
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页数：34
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