Partial regularity for sub-elliptic systems with Dini continuous coefficients involving natural growth terms in the Heisenberg group
DOI10.1016/j.jmaa.2013.11.002zbMath1320.35128OpenAlexW2024536384MaRDI QIDQ2019164
Dongni Liao, Zefeng Yu, Jia Lin Wang
Publication date: 27 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.002
natural growth condition\(\mathcal A\)-harmonic approximation techniqueDini-continuous coefficientssystem in divergence form
Smoothness and regularity of solutions to PDEs (35B65) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Optimal partial regularity for sub-elliptic systems with sub-quadratic growth in Carnot groups
- Optimal partial regularity of second order nonlinear elliptic systems with Dini continuous coefficients for the superquadratic case
- Optimal interior partial regularity for nonlinear elliptic systems with Dini continuous coefficients
- Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups
- Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
- The sharp Poincaré inequality for free vector fields: An endpoint result
- Nonlinear elliptic systems with Dini continuous coefficients
- Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
- Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
- Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
- Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
- The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
- Gradient regularity for elliptic equations in the Heisenberg group
- Regularity results for quasilinear elliptic equations in the Heisenberg group
- Partial regularity results for subelliptic systems in the Heisenberg group
- 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
- Elliptic Systems, Singular Sets and Dini Continuity
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Regularity of quasi-linear equations in the Heisenberg group
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- \(C^{1,\alpha}\) local regularity for the solutions of the \(p\)-Laplacian on the Heisenberg group for \(2 \leq p < 1 + \sqrt{5}\)
This page was built for publication: Partial regularity for sub-elliptic systems with Dini continuous coefficients involving natural growth terms in the Heisenberg group
