Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group

DOI10.1515/FORUM.2008.033zbMath1160.35356OpenAlexW2018076532MaRDI QIDQ3529865

Anna Zatorska-Goldstein, Paweł Goldstein

Publication date: 14 October 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2008.033

zbMATH Keywords

nonlinear subelliptic systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Subelliptic equations (35H20)

Related Items (2)

Gradient regularity for elliptic equations in the Heisenberg group ⋮ Regularity results for a class of obstacle problems in Heisenberg groups.

Cites Work

• Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
• The singular set of minima of integral functionals
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems
• Regularity of quasi-linear equations in the Heisenberg group
• 𝐿^{𝑝} estimates for nonvariational hypoelliptic operators with 𝑉𝑀𝑂 coefficients
• Gradient estimates for thep(x)-Laplacean system
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Regularity of quasi-minimizers on metric spaces

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