A critical fractional Choquard problem involving a singular nonlinearity and a Radon measure
type: Item
instance of: scholarly article
title: A critical fractional Choquard problem involving a singular nonlinearity and a Radon measure
zbMATH Open document ID: 1481.35199
author: Akasmika Panda
author: Debajyoti Choudhuri
author: K. Saoudi
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2022-01-13T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7456759
zbMATH Keywords: Choquard equation
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: existence
MaRDI profile type: Publication
full work available at URL: s11868-021-00382-2
OpenAlex ID: W3132152760
cites work: Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications
cites work: MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SINGULAR AND CRITICAL ELLIPTIC PROBLEM IN ℝ2
cites work: Q4826746
cites work: Some remarks on the solvability of non-local elliptic problems with the Hardy potential
cites work: Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
cites work: Semilinear elliptic equations with singular nonlinearities
cites work: Nonlinear elliptic and parabolic equations involving measure data
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
cites work: Nonlocal problems with singular nonlinearity
cites work: Ground state solutions for non-autonomous fractional Choquard equations
cites work: Multiple positive solutions for a nonlocal PDE with critical Sobolev-Hardy and singular nonlinearities via perturbation method
cites work: On the variational principle
cites work: Semilinear elliptic equations for the fractional Laplacian with Hardy potential
cites work: On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
cites work: The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
cites work: The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
cites work: Singular nonlocal problem involving measure data
cites work: Positive solutions of fractional elliptic equation with critical and singular nonlinearity
cites work: Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
cites work: Regularity results on a class of doubly nonlocal problems
cites work: Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
cites work: Nonlocal equations with measure data
cites work: On a Singular Nonlinear Elliptic Boundary-Value Problem
cites work: Analysis.
cites work: On nonlinear fractional Schrödinger equations with Hartree-type nonlinearity
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Q5139981
cites work: Q5831956
cites work: The Brezis-Nirenberg result for the fractional Laplacian
cites work: On a new class of fractional partial differential equations
cites work: A critical fractional elliptic equation with singular nonlinearities
cites work: Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
cites work: The role of the power 3 for elliptic equations with negative exponents
cites work: Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
cites work: Bifurcation results for the critical Choquard problem involving fractional \(p\)-Laplacian operator
DOI: 10.1007/S11868-021-00382-2
description: scientific article; zbMATH DE number 7456759