Positive solutions for nonlinear Choquard equation with singular nonlinearity

DOI10.1080/17476933.2016.1260559zbMath1368.35275arXiv1609.07273OpenAlexW2963661043MaRDI QIDQ5281698

Konijeti Sreenadh, Tuhina Mukherjee

Publication date: 26 July 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07273

zbMATH Keywords

Nehari manifoldChoquard equationsingular non-linearity

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (18)

Existence to fractional critical equation with Hardy-Littlewood-Sobolev nonlinearities ⋮ Multiple and asymptotical behavior of solutions to a Choquard equation with singularity ⋮ Uniqueness and asymptotical behavior of solutions to a Choquard equation with singularity ⋮ Nonlocal perturbations of the fractional Choquard equation ⋮ Ground states solutions for a modified fractional Schrödinger equation with a generalized Choquard nonlinearity ⋮ Weighted Choquard equation perturbed with weighted nonlocal term ⋮ A study of extremal parameter for fractional singular Choquard problem ⋮ On critical double phase Choquard problems with singular nonlinearity ⋮ Multiple positive solutions for critical elliptic problem with singularity ⋮ FRACTIONAL SCHRÖDINGER–POISSON SYSTEM WITH SINGULARITY: EXISTENCE, UNIQUENESS, AND ASYMPTOTIC BEHAVIOR ⋮ The Choquard equation with weighted terms and Sobolev-Hardy exponent ⋮ On concentration of least energy solutions for magnetic critical Choquard equations ⋮ Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity ⋮ Critical Kirchhoff-Choquard system involving the fractional \(p\)-Laplacian operator and singular nonlinearities ⋮ Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey ⋮ Variable order nonlocal Choquard problem with variable exponents ⋮ Ground state solution ofp-Laplacian equation with finite many critical nonlinearities ⋮ The existence of positive solutions to the Choquard equation with critical exponent and logarithmic term

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