A De Giorgi Type Result to Divergence Degenerate Elliptic Equation with Bounded Coefficients Related To Hörmander's Vector Fields

DOI10.4208/jpde.v36.n1.2OpenAlexW4312072463WikidataQ117217800 ScholiaQ117217800MaRDI QIDQ5880859

Lingling Hou

Publication date: 6 March 2023

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v36.n1.2

zbMATH Keywords

Harnack inequalityHörmander's vector fieldsDe Giorgi type resultdivergence degenerate elliptic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Schauder estimates for sub-elliptic equations
• Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
• Partial regularity for degenerate subelliptic systems associated with Hörmander's vector fields
• Schauder estimates for parabolic nondivergence operators of Hörmander type
• Balls and metrics defined by vector fields. I: Basic properties
• Fundamental solutions and geometry of the sum of squares of vector fields
• Fundamental solutions for second order subelliptic operators
• Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• On Harnack's inequality for a class of strongly degenerate Schrödinger operators formed by vector fields
• Higher interior regularity for quasilinear subelliptic systems
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Hölder continuity and Harnack inequality for De Giorgi classes related to Hörmander vector fields
• Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
• Hypoelliptic second order differential equations
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Continuity of Solutions of Parabolic and Elliptic Equations
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Regularity for nonlinear equations involving square Hörmander operators
• Pointwise Schauder estimates for second order linear equations in Carnot groups
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems

This page was built for publication: A De Giorgi Type Result to Divergence Degenerate Elliptic Equation with Bounded Coefficients Related To Hörmander's Vector Fields