Fractional \(p\)-Laplacian problems with Hardy terms and critical exponents

DOI10.4171/ZAA/1647zbMath1430.35251OpenAlexW2981974410MaRDI QIDQ2295613

Alessio Fiscella, Hadi Mirzaee

Publication date: 14 February 2020

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1647

zbMATH Keywords

critical exponentsfractional \(p\)-LaplacianHardy term

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator ⋮ Fractional Kirchhoff-type equation with singular potential and critical exponent

Cites Work

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• The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian
• On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
• Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
• \(p\)-fractional Kirchhoff equations involving critical nonlinearities
• Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities
• Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
• On the quasilinear elliptic problem with a critical Hardy-Sobolev exponent and a Hardy term
• Nonlinear ground state representations and sharp Hardy inequalities
• On a \(p\)-Laplace equation with multiple critical nonlinearities
• Multiple positive solutions for elliptic equations involving a concave term and critical Sobolev-Hardy exponent
• Positive solutions to the weighted critical quasilinear problems
• Functional analysis, Sobolev spaces and partial differential equations
• Multiple solutions for a fractional \(p\)-Kirchhoff problem with subcritical and critical Hardy-Sobolev exponent
• Entire solutions for critical \(p\)-fractional Hardy Schrödinger Kirchhoff equations
• Hardy-Sobolev critical elliptic equations with boundary singularities
• Minimax theorems
• Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
• Kirchhoff-Hardy fractional problems with lack of compactness
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Multiple positive solutions for singular elliptic equations with weighted Hardy terms and critical Sobolev–Hardy exponents
• Multiple positive solutions for nonlocal elliptic problems involving the Hardy potential and concave–convex nonlinearities
• Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities

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