Radial symmetry for a quasilinear elliptic equation with a critical Sobolev growth and Hardy potential

DOI10.1016/j.matpur.2020.06.004zbMath1445.35184arXiv1811.01599OpenAlexW3036337426MaRDI QIDQ781639

Francescantonio Oliva, Giusi Vaira, Berardino Sciunzi

Publication date: 17 July 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01599

zbMATH Keywords

positive solutions\(p\)-LaplacianHardy potentialmoving plane method

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

Qualitative properties of singular solutions to fractional elliptic equations ⋮ Existence of ground‐state solutions for p‐Choquard equations with singular potential and doubly critical exponents ⋮ Existence and properties of radial solutions to critical elliptic systems involving strongly coupled Hardy terms ⋮ Classification of positive solutions to \(p\)-Laplace equations with critical Hardy-Sobolev exponent ⋮ Existence of multiple positive solutions for singular p‐q‐Laplacian problems with critical nonlinearities ⋮ Sharp pointwise estimates for weighted critical \(p\)-Laplace equations ⋮ A note on the asymptotic behavior of radial solutions to quasilinear elliptic equations with a Hardy potential ⋮ Apriori decay estimates for Hardy-Sobolev-Maz'ya equations

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