A note on a poincaré type inequality for solutions to subelliptic equations

DOI10.1080/03605309608821183zbMath0847.35044OpenAlexW2109851856MaRDI QIDQ4872526

Guozhen Lu

Publication date: 8 October 1996

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

Full work available at URL: https://doi.org/10.1080/03605309608821183

zbMATH Keywords

quasilinear subelliptic equations\(p\)-SublaplacianHörmander-type-operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (3)

Representation formulas and weighted Poincaré inequalities for Hörmander vector fields ⋮ Integral representations and embedding theorems for functions defined on the Heisenberg groups $\mathbb H^n$ ⋮ Embedding and compact embedding for weighted and abstract Sobolev spaces

Cites Work

• Balls and metrics defined by vector fields. I: Basic properties
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Local behavior of solutions of quasi-linear equations
• Hypoelliptic second order differential equations
• Weighted Poincare and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions
• Weakly Differentiable Functions
• Weighted sobolev-poincaré inequalities for grushin type operators
• On harnack type inequalities and their application to quasilinear elliptic equations

This page was built for publication: A note on a poincaré type inequality for solutions to subelliptic equations