\(C^{1, \alpha}\)-regularity of quasilinear equations on the Heisenberg group
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Publication:2698324
DOI10.1016/j.jde.2023.02.043OpenAlexW4361222961MaRDI QIDQ2698324
Publication date: 21 April 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.03748
Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)
Cites Work
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- Regularity for subelliptic PDE through uniform estimates in multi-scale geometries
- A subelliptic analogue of Aronson-Serrin's Harnack inequality
- Regularity for elliptic equations with general growth conditions
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Multiple integrals in the calculus of variations
- Harnack inequalities for quasi-minima of variational integrals
- Regularity for a more general class of quasilinear equations
- On the regularity of the minima of variational integrals
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Hypoelliptic differential operators and nilpotent groups
- Regularity for a class of nonlinear elliptic systems
- Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
- Elliptic partial differential equations of second order
- Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
- Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
- On local Lipschitz regularity for quasilinear equations in the Heisenberg group
- Regularity of quasi-linear equations with Hörmander vector fields of step two
- \(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group
- \(C^{1,\alpha }\)-subelliptic regularity on \(\text{SU}(3)\) and compact, semi-simple Lie groups
- Riesz potential estimates for a general class of quasilinear equations
- Local behavior of solutions of quasi-linear equations
- Regularity results for quasilinear elliptic equations in the Heisenberg group
- Partial regularity results for subelliptic systems in the Heisenberg group
- Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
- Hypoelliptic second order differential equations
- Linear and quasilinear elliptic equations
- Subelliptic Cordes estimates
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Boundary regularity for solutions of degenerate elliptic equations
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- An embedding theorem and the harnack inequality for nonlinear subelliptic equations
- Regularity of quasi-linear equations in the Heisenberg group
- Sobolev met Poincaré
- On the 𝐶^{1,𝛼} regularity of 𝑝-harmonic functions in the Heisenberg group
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- On harnack type inequalities and their application to quasilinear elliptic equations
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- Inequalities of John-Nirenberg type in doubling spaces
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