A critical fractional elliptic equation with singular nonlinearities
type: Item
instance of: scholarly article
title: A critical fractional elliptic equation with singular nonlinearities
zbMATH Open document ID: 1391.35400
author: K. Saoudi
publication date: 2018-06-14T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 6889422
zbMATH Keywords: nonlocal operator
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: singular nonlinearities
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1515/fca-2017-0079
OpenAlex ID: W2793753626
cites work: Combined effects of concave and convex nonlinearities in some elliptic problems
cites work: Dual variational methods in critical point theory and applications
cites work: Lévy Processes and Stochastic Calculus
cites work: On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations
cites work: Semilinear problems for the fractional Laplacian with a singular nonlinearity
cites work: A critical fractional equation with concave-convex power nonlinearities
cites work: Existence of solutions to boundary value problem for impulsive fractional differential equations
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: On a singular nonlinear dirichlet problem
cites work: On a dirichlet problem with a singular nonlinearity
cites work: Best constants for Sobolev inequalities for higher order fractional derivatives
cites work: Global bifurcation and local multiplicity results for elliptic equations with singular nonlinearity of super exponential growth in \(\mathbb R^2\)
cites work: Boundary blow up solutions for fractional elliptic equations
cites work: The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
cites work: A multiplicity results for a singular problem involving the fractionalp-Laplacian operator
cites work: A general mountain pass principle for locating and classifying critical points
cites work: Multiplicity of positive solutions for a singular and critical problem
cites work: Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
cites work: Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities
cites work: \(H^s\) versus \(C^0\)-weighted minimizers
cites work: Fractional elliptic equations with critical growth and singular nonlinearities
cites work: Multiple solutions to boundary value problem for impulsive fractional differential equations
cites work: The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Existence of multiple solutions for a singular and quasilinear equation
cites work: A Brezis-Nirenberg result for non-local critical equations in low dimension
cites work: Variational methods for non-local operators of elliptic type
cites work: Mountain pass solutions for non-local elliptic operators
cites work: On the Fredholm alternative for the p-Laplacian at the first eigenvalue
cites work: Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.
cites work: Existence and multiplicity of solutions for nonlinear elliptic problems with the fractional Laplacian
DOI: 10.1515/FCA-2017-0079
published in: Fractional Calculus \ Applied Analysis
description: scientific article; zbMATH DE number 6889422