On elliptic problems with Choquard term and singular nonlinearity

被引：1

作者：

Choudhuri, Debajyoti ^{[1
]}

Repovs, Dusan D. ^{[2
,3
,4
]}

Saoudi, Kamel ^{[5
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, Odisha, India

[2] Univ Ljubljana, Fac Educ, Ljubljana 1000, Slovenia

[3] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

[4] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

[5] Imam Abdulrahman Bin Faisal Univ, Basic & Appl Sci Res Ctr, Dammam 34212, Saudi Arabia

来源：

ASYMPTOTIC ANALYSIS | 2023年 / 133卷 / 1-2期

关键词：

Choquard term; variational method; dual fountain theorem; EXISTENCE;

D O I：

10.3233/ASY-221812

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show that if the problem has a positive solution, then it is bounded a.e. in the domain Omega and is Holder continuous.

引用

页码：255 / 266

页数：12

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