Hölder continuity for sub-elliptic systems under the sub-quadratic controllable growth in Carnot groups

DOI10.4171/RSMUP/130-6zbMath1286.35080MaRDI QIDQ2438317

Zefeng Yu, Dongni Liao, Jia Lin Wang

Publication date: 11 March 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

optimal partial regularity\(\mathcal{A}\)-harmonic approximation technique

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

Partial interior regularity for sub-elliptic systems with dini continuous coefficients in Carnot groups: the sub-quadratic controllable case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal interior partial regularity for nonlinear elliptic systems
• Almost-everywhere regularity results for solutions of nonlinear elliptic systems
• Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
• Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
• The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
• Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
• The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

This page was built for publication: Hölder continuity for sub-elliptic systems under the sub-quadratic controllable growth in Carnot groups