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

DOI10.1186/s13661-017-0882-xzbMath1386.35049OpenAlexW2765276530WikidataQ59523885 ScholiaQ59523885MaRDI QIDQ1678055

Shimin Wu, Dongni Liao, Qiang Yang, Jia Lin Wang

Publication date: 14 November 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0882-x

zbMATH Keywords

Carnot groupsnonlinear sub-elliptic systemoptimal partial regularityDini continuous coefficientssub-quadratic controllable growth

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal partial regularity of second order nonlinear elliptic systems with Dini continuous coefficients for the superquadratic case
• Yamabe-type equations on Carnot groups
• Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
• 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
• 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 subelliptic \(p\)-harmonic systems with subcritical growth in Carnot group
• Gradient regularity for elliptic equations in the Heisenberg group
• Nonlinear elliptic equations on Carnot groups
• Hölder continuity for sub-elliptic systems under the sub-quadratic controllable growth in Carnot groups
• Nontrivial solutions for singular semilinear elliptic equations on 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
• Optimal partial regularity for nonlinear sub-elliptic systems with Dini continuous coefficients in Carnot groups
• The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition
• The subelliptic ∞-Laplace system on Carnot–Carathéodory spaces
• Elliptic Systems, Singular Sets and Dini Continuity
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
• Uniqueness of positive solution for a quasilinear elliptic equation in heisenberg group

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