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Complex Variables and Elliptic Equations
An International Journal
Volume 62, 2017 - Issue 8
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Original Articles

Positive solutions for nonlinear Choquard equation with singular nonlinearity

Tuhina MukherjeeDepartment of Mathematics, Indian Institute of Technology Delhi, New Delhi, India.
&
K. SreenadhDepartment of Mathematics, Indian Institute of Technology Delhi, New Delhi, India.Correspondence[email protected]
Pages 1044-1071 | Received 23 Aug 2016, Accepted 10 Nov 2016, Published online: 02 Feb 2017

Citations (19)

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Read on this site (2)

Reshmi Biswas & Sweta Tiwari. (2021) Variable order nonlocal Choquard problem with variable exponents. Complex Variables and Elliptic Equations 66:5, pages 853-875.
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Yu Su, Haibo Chen, Senli Liu & Guofeng Che. (2021) Ground state solution of p-Laplacian equation with finite many critical nonlinearities. Complex Variables and Elliptic Equations 66:2, pages 283-311.
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Articles from other publishers (17)

Pawan Kumar Mishra & Vinayak Mani Tripathi. (2023) A study of extremal parameter for fractional singular Choquard problem. Mathematische Nachrichten 296:11, pages 5259-5287.
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Baoling Yang, Deli Zhang & Sihua Liang. (2023) On critical double phase Choquard problems with singular nonlinearity. Communications in Nonlinear Science and Numerical Simulation 125, pages 107420.
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Gurpreet Singh. (2023) A Study of Biharmonic Equation Involving Nonlocal Terms and Critical Sobolev Exponent. Differential Equations and Dynamical Systems.
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Qihan He, Yu He & Juntao Lv. (2023) The existence of positive solutions to the Choquard equation with critical exponent and logarithmic term. Journal of Mathematical Analysis and Applications 519:1, pages 126737.
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Shengbin Yu & Jianqing Chen. (2022) Multiple and asymptotical behavior of solutions to a Choquard equation with singularity. Journal of Mathematical Analysis and Applications 511:1, pages 126047.
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I. Dehsari & N. Nyamoradi. (2022) Ground States Solutions for a Modified Fractional Schrödinger Equation with a Generalized Choquard Nonlinearity. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) 57:3, pages 131-144.
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Yanbin Sang & Tsing-San Hsu. (2022) Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity. Journal of Pseudo-Differential Operators and Applications 13:1.
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Gurpreet Singh. (2021) Weighted Choquard Equation Perturbed with Weighted Nonlocal Term. Differential Equations and Dynamical Systems.
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Nemat Nyamoradi & Abdolrahman Razani. (2021) Existence to Fractional Critical Equation with Hardy-Littlewood-Sobolev Nonlinearities. Acta Mathematica Scientia 41:4, pages 1321-1332.
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Shengbin Yu & Jianqing Chen. (2021) Multiple positive solutions for critical elliptic problem with singularity. Monatshefte für Mathematik 194:2, pages 395-423.
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SHENGBIN YU & JIANQING CHEN. (2020) FRACTIONAL SCHRÖDINGER–POISSON SYSTEM WITH SINGULARITY: EXISTENCE, UNIQUENESS, AND ASYMPTOTIC BEHAVIOR. Glasgow Mathematical Journal 63:1, pages 179-192.
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Shengbin Yu & Jianqing Chen. (2020) Uniqueness and asymptotical behavior of solutions to a Choquard equation with singularity. Applied Mathematics Letters 102, pages 106099.
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K. Sreenadh & T. Mukherjee. 2020. Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Mathematical Modelling, Optimization, Analytic and Numerical Solutions 197 229 .
安然 侯. (2019) Existence of Three Solutions for a Magnetic Equation. Pure Mathematics 09:03, pages 299-307.
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T. Mukherjee & K. Sreenadh. (2018) On concentration of least energy solutions for magnetic critical Choquard equations. Journal of Mathematical Analysis and Applications 464:1, pages 402-420.
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Yanbin Sang, Xiaorong Luo & Yongqing Wang. (2018) The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent. Journal of Function Spaces 2018, pages 1-22.
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Gurpreet Singh. (2017) Nonlocal perturbations of the fractional Choquard equation. Advances in Nonlinear Analysis 8:1, pages 694-706.
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