\(p\)-Laplacian problems involving critical Hardy-Sobolev exponents

DOI10.1007/s00030-018-0517-7zbMath1401.35109arXiv1609.01804OpenAlexW2963433463MaRDI QIDQ723761

Wen Ming Zou, Perera, Kanishka

Publication date: 24 July 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01804

zbMATH Keywords

\(p\)-Laplaciancritical Hardy-Sobolev exponentmultiplicity and bifurcation results

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (12)

Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents ⋮ First and second critical exponents for an inhomogeneous damped wave equation with mixed nonlinearities ⋮ Multiple solutions for a quasilinear Schrödinger equation involving critical Hardy–Sobolev exponent with Robin boundary condition ⋮ A fractional critical problem with shifting subcritical perturbation ⋮ Existence and multiplicity results for the fractional p-Laplacian equation with Hardy-Sobolev exponents ⋮ A general perturbation theorem with applications to nonhomogeneous critical growth elliptic problems ⋮ Existence and multiplicity results for parameter Kirchhoff double phase problem with Hardy–Sobolev exponents ⋮ Unnamed Item ⋮ Multiple solutions for the fractional \(p\)-Laplacian equation with Hardy-Sobolev exponents ⋮ Bound state solutions of fractional Choquard equation with Hardy-Littlewood-Sobolev critical exponent ⋮ Hardy-Sobolev equation on compact Riemannian manifolds involving \(p\)-Laplacian ⋮ REGULARITY AND MULTIPLICITY OF SOLUTIONS FOR A NONLOCAL PROBLEM WITH CRITICAL SOBOLEV-HARDY NONLINEARITIES

Cites Work

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• Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity
• \(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue
• N-Laplacian problems with critical Trudinger-Moser nonlinearities
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries

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