Existence and multiplicity of solutions for a nonlocal problem with critical Sobolev-Hardy nonlinearities

DOI10.1007/S00009-020-01601-8zbMath1448.35190OpenAlexW3084551286MaRDI QIDQ2006931

Adel Daoues, Amani Hammami, Kamel Saoudi

Publication date: 12 October 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01601-8

zbMATH Keywords

fractional Laplacianexistence of multiple positive solutionsSobolev-Hardy nonlinearities

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (3)

Multiple solutions to a transmission problem with a critical Hardy-Sobolev exponential source term ⋮ Eigenvalue for a problem involving the fractional \((p, q)\)-Laplacian operator and nonlinearity with a singular and a supercritical Sobolev growth ⋮ Existence of solutions to fractional elliptic equation with the Hardy potential and concave-convex nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations
• Hitchhiker's guide to the fractional Sobolev spaces
• The fractional Cheeger problem
• A critical fractional equation with concave-convex power nonlinearities
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• Mountain pass solutions for non-local elliptic operators
• A general mountain pass principle for locating and classifying critical points
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• A critical fractional elliptic equation with singular nonlinearities
• Nonlocal problems with critical Hardy nonlinearity
• Variational methods for non-local operators of elliptic type
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Multiple positive solutions for a nonlocal PDE with critical Sobolev-Hardy and singular nonlinearities via perturbation method
• Existence and multiplicity of solutions for nonlinear elliptic problems with the fractional Laplacian
• \(H^s\) versus \(C^0\)-weighted minimizers
• Existence and multiplicity of positive solutions for a perturbed semilinear elliptic equation with two Hardy-Sobolev critical exponents
• Doubly critical problems involving fractional Laplacians in \(\mathbb{R}^N\)
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Lévy Processes and Stochastic Calculus
• The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
• Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
• The Brezis-Nirenberg result for the fractional Laplacian
• Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities

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