Optimal partial regularity for sub-elliptic systems related to Hörmander's vector fields: the controllable growth case
From MaRDI portal
Publication:740695
DOI10.1007/s13398-013-0116-8zbMath1297.35070OpenAlexW1992058591MaRDI QIDQ740695
Publication date: 9 September 2014
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-013-0116-8
\(\mathcal A\)-harmonic approximation technique.nonlinear sub-elliptic systemssuper-quadratic controllable growth condition
Related Items (2)
\(L^p\) estimates for weak solutions to nonlinear degenerate parabolic systems ⋮ Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander's vector fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
- Partial regularity for degenerate subelliptic systems associated with Hörmander's vector fields
- Schauder estimates for parabolic nondivergence operators of Hörmander type
- Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: the method of A-harmonic approximation
- Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups
- Gradient bounds for the horizontal \(p\)-Laplacian on a Carnot group and some applications
- Balls and metrics defined by vector fields. I: Basic properties
- Partial regularity of minimizers of quasiconvex integrals
- Hypoelliptic differential operators and nilpotent groups
- Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
- Higher interior regularity for quasilinear subelliptic systems
- A new partial regularity proof for solutions of nonlinear elliptic systems
- 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
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- 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
- Hypoelliptic second order differential equations
- The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition
- OPTIMAL PARTIAL REGULARITY FOR NONLINEAR SUB-ELLIPTIC SYSTEMS RELATED TO HÖRMANDER' S VECTOR FIELDS
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Regularity for quasilinear second‐order subelliptic equations
- An embedding theorem and the harnack inequality for nonlinear subelliptic equations
- Regularity of quasi-linear equations in the Heisenberg group
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- 𝐿^{𝑝} estimates for nonvariational hypoelliptic operators with 𝑉𝑀𝑂 coefficients
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- \(C^{1,\alpha}\) 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: Optimal partial regularity for sub-elliptic systems related to Hörmander's vector fields: the controllable growth case