Nonlinear subelliptic equations

DOI10.1007/s00229-009-0286-zzbMath1180.35178OpenAlexW2076879635MaRDI QIDQ1031860

Juan J. Manfredi, András Domokos

Publication date: 23 October 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0286-z

zbMATH Keywords

quasilinear elliptic equationsregularity of the solutions\(\nu\)-closed Hörmander systemsubelliptic problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Subelliptic equations (35H20)

Related Items (11)

Regularity of quasi-linear equations with Hörmander vector fields of step two ⋮ Regularity for $p$-Harmonic Functions in the Grušin Plane ⋮ Subelliptic Peter-Weyl and Plancherel theorems on compact, connected, semisimple Lie groups ⋮ Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds ⋮ Subelliptic estimates on compact semisimple Lie groups ⋮ On the Regularity of Nonlinear Subelliptic Equations ⋮ \( \Gamma \)-convergence and homogenisation for a class of degenerate functionals ⋮ Regularity results for minimizers of \((2,q)\)-growth functionals in the Heisenberg group ⋮ \(C^{1,\alpha }\)-subelliptic regularity on \(\text{SU}(3)\) and compact, semi-simple Lie groups ⋮ Unnamed Item ⋮ A VERSION OF THE HOPF-LAX FORMULA IN THE HEISENBERG GROUP

Cites Work

• Unnamed Item
• Unnamed Item
• Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
• On the regularity of subelliptic \(p\)-harmonic functions in Carnot groups
• Sub-Riemannian geometry
• Nilpotent Lie groups: Structure and applications to analysis
• Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
• Higher interior regularity for quasilinear subelliptic systems
• Control theory from the geometric viewpoint.
• Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
• Regularity results for quasilinear elliptic equations in the Heisenberg group
• Hypoelliptic second order differential equations
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Regularity of quasi-linear equations in the Heisenberg group
• Lie groups
• \(C^{1,\alpha}\) local regularity for the solutions of the \(p\)-Laplacian on the Heisenberg group for \(2 \leq p < 1 + \sqrt{5}\)
• Riemannian geometry and geometric analysis

This page was built for publication: Nonlinear subelliptic equations