Liouville theorems for a class of linear second-order operators with nonnegative characteristic form

DOI10.1155/2007/48232zbMath1158.35338OpenAlexW1990325972WikidataQ59215078 ScholiaQ59215078MaRDI QIDQ2472171

Ermanno Lanconelli, Alessia Elisabetta Kogoj

Publication date: 20 February 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55220

zbMATH Keywords

asymptotic Liouville theoremspolynomial Liouville theorems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Hypoelliptic equations (35H10)

Related Items (10)

Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators ⋮ On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators ⋮ Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion ⋮ Large sets at infinity and maximum principle on unbounded domains for a class of sub-elliptic operators ⋮ Weighted \(L^p\)-Liouville theorems for hypoelliptic partial differential operators on Lie groups ⋮ Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators ⋮ Liouville-type theorems with finite Morse index for semilinear \(\Delta_{\lambda}\)-Laplace operators ⋮ Liouville theorem for \(X\)-elliptic operators ⋮ A Liouville-type Theorem on half-spaces for sub-Laplacians ⋮ \(L^p\)-Liouville theorems for invariant partial differential operators in \(\mathbb{R}^n\)

Cites Work

• Liouville theorems for non-local operators
• Liouville theorems in halfspaces for parabolic hypoelliptic equations
• Superparabolic functions related to second order hypoelliptic operators
• An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
• Link of groups and homogeneous Hörmander operators
• Liouville theorems for heat functions
• Liouville's theorem for homogeneous differential operators
• Liouville-type theorems for real sub-Laplacians
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