Maximum principle on unbounded domains for sub-Laplacians: A potential theory approach

DOI10.1090/S0002-9939-02-06569-3zbMath1165.35331OpenAlexW2155212593MaRDI QIDQ4529676

Ermanno Lanconelli, Andrea Bonfiglioli

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06569-3

zbMATH Keywords

subharmonic functionsrepresentation formula

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (5)

Subelliptic harmonic morphisms ⋮ Maximum principle in some unbounded domains for an elliptic operator with unbounded drift ⋮ Large sets at infinity and maximum principle on unbounded domains for a class of sub-elliptic operators ⋮ The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE ⋮ The theory of energy for sub-Laplacians with an application to quasi-continuity

Cites Work

• Subelliptic estimates and function spaces on nilpotent Lie groups
• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
• One-dimensional symmetry of bounded entire solutions of some elliptic equations
• Subharmonic functions on Carnot groups
• On the method of moving planes and the sliding method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Maximum principle on unbounded domains for sub-Laplacians: A potential theory approach