Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation
type: Item
instance of: scholarly article
title: Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation
zbMATH Open document ID: 1503.35258
author: Rachid Echarghaoui
author: Mohamed Masmodi
publication date: 2022-12-21T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 47G20
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7636151
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: critical elliptic problem
zbMATH Keywords: compactness
zbMATH Keywords: infinitely many solutions
zbMATH Keywords: Fountain theorem
zbMATH Keywords: concave-convex nonlinearities
Wikidata QID: Q114016986
MaRDI profile type: Publication
full work available at URL: s13540-022-00060-0
OpenAlex ID: W4283707068
cites work: Getting acquainted with the fractional Laplacian
cites work: Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow
cites work: On some critical problems for the fractional Laplacian operator
cites work: A critical fractional equation with concave-convex power nonlinearities
cites work: Infinitely many solutions of a symmetric Dirichlet problem
cites work: On an Elliptic Equation with Concave and Convex Nonlinearities
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Superlinear nonlocal fractional problems with infinitely many solutions
cites work: Nontrivial solutions of superlinear nonlocal problems
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Infinitely many solutions for \(p\)-Laplacian equation involving critical Sobolev growth
cites work: Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
cites work: The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
cites work: Concentration estimates and multiple solutions to elliptic problems at critical growth
cites work: The local regularity of solutions of degenerate elliptic equations
cites work: Many solutions for elliptic equations with critical exponents
cites work: The Nehari manifold for fractional systems involving critical nonlinearities
cites work: Infinitely many sign-changing solutions for the Brézis-Nirenberg problem involving the fractional Laplacian
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
cites work: A global compactness type result for Palais-Smale sequences in fractional Sobolev spaces
cites work: Q3749777
cites work: On the spectrum of two different fractional operators
cites work: A global compactness result for elliptic boundary value problems involving limiting nonlinearities
cites work: Q3997570
cites work: Nontrivial solutions of some fractional problems
cites work: Q5542608
cites work: Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
cites work: Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents
cites work: Equations involving fractional Laplacian operator: compactness and application
cites work: Multiplicity of solutions for non-local elliptic equations driven by the fractional Laplacian
cites work: Minimax theorems
DOI: 10.1007/S13540-022-00060-0
published in: Fractional Calculus \ Applied Analysis
description: scientific article; zbMATH DE number 7636151