PICONE INEQUALITIES FOR p-SUB-LAPLACIAN ON THE HEISENBERG GROUP AND ITS APPLICATIONS

DOI10.1142/S0219199710003804zbMath1189.35348OpenAlexW2023825909MaRDI QIDQ3560164

Jingbo Dou

Publication date: 19 May 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199710003804

zbMATH Keywords

comparison principleHeisenberg groupPicone inequality\(p\)-sub-Laplace equation

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Positive solutions to PDEs (35B09) Comparison principles in context of PDEs (35B51)

Related Items (5)

Picone's identity for biharmonic operators on Heisenberg group and its applications ⋮ Simultaneous approximation of Birkhoff interpolation and the associated sharp inequalities ⋮ A Picone's identity for the p(x)-Laplace equations and its applications ⋮ Some weighted Hardy-type inequalities on anisotropic Heisenberg groups ⋮ Green's identities, comparison principle and uniqueness of positive solutions for nonlinear \(p\)-sub-Laplacian equations on stratified Lie groups

Cites Work

• Unnamed Item
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• A non-existence theorem for a semilinear Dirichlet problem involving critical exponent on halfspaces of the Heisenberg group
• Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential
• Hardy type and Rellich type inequalities on the Heisenberg group
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Regularity of quasi-linear equations in the Heisenberg group
• Non-existence results for semilinear kohn-laplace equations in unbounded domains
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]

This page was built for publication: PICONE INEQUALITIES FOR p-SUB-LAPLACIAN ON THE HEISENBERG GROUP AND ITS APPLICATIONS