Local behavior of solutions to subelliptic problems with Hardy potential on Carnot groups

DOI10.1007/s00009-018-1126-8zbMath1401.35107OpenAlexW2800983410MaRDI QIDQ723773

Annunziata Loiudice

Publication date: 24 July 2018

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

Full work available at URL: http://hdl.handle.net/11586/219016

zbMATH Keywords

asymptotic behaviorsub-LaplacianCarnot groupssubelliptic critical problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate elliptic equations (35J70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Singular elliptic equations (35J75)

Related Items (11)

Sub-elliptic problems with multiple critical Sobolev-Hardy exponents on Carnot groups ⋮ On the existence and multiplicity of solutions for a class of sub-Laplacian problems involving critical Sobolev–Hardy exponents on Carnot groups ⋮ On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups ⋮ Existence and multiplicity of positive solutions to sub-elliptic systems with multiple critical exponents on Carnot groups ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ Lieb's and Lions' type theorems on Heisenberg group and applications ⋮ Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators ⋮ Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms ⋮ Optimal decay of \(p\)-Sobolev extremals on Carnot groups ⋮ Critical problems with Hardy potential on stratified Lie groups ⋮ A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent

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