\(L^p\)-weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups

DOI10.1007/s00030-010-0069-yzbMath1207.35104OpenAlexW2021741021MaRDI QIDQ601744

Annunziata Loiudice

Publication date: 29 October 2010

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

Full work available at URL: https://doi.org/10.1007/s00030-010-0069-y

zbMATH Keywords

subelliptic critical problemHardy-Sobolev type inequalities

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (5)

On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups ⋮ Critical growth problems with singular nonlinearities on Carnot groups ⋮ Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators ⋮ Optimal decay of \(p\)-Sobolev extremals on Carnot groups ⋮ A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent

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