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

共 15 条

[1] CHOQUARD EQUATIONS VIA NONLINEAR RAYLEIGH QUOTIENT FOR CONCAVE-CONVEX NONLINEARITIES
Carvalho, M. L. M.
Silva, Edcarlos D.
Goulart, C.
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (10) : 3429 - 3463
[2] Giacomoni J, 2007, ANN SCUOLA NORM-SCI, V6, P117
[3] Gross E.P, 1996, PHYS MANY PARTICLE S, V1
[4] Global Holder regularity for the fractional p-Laplacian
Iannizzotto, Antonio
Mosconi, Sunra
Squassina, Marco
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2016, 32 (04) : 1353 - 1392
[5] ON A SINGULAR NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEM
LAZER, AC
MCKENNA, PJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 111 (03) : 721 - 730
[6] LIEB EH, 1977, STUD APPL MATH, V57, P93
[7] Lions P. L., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P1063, DOI 10.1016/0362-546X(80)90016-4
[8] A guide to the Choquard equation
Moroz, Vitaly
Van Schaftingen, Jean
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (01) : 773 - 813
[9] Fractional Choquard equation with critical nonlinearities
Mukherjee, T.
Sreenadh, K.
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2017, 24 (06):
[10] A critical fractional choquard problem involving a singular nonlinearity and a radon measure
Panda, Akasmika
Choudhuri, Debajyoti
Saoudi, Kamel
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2021, 12 (01)

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