On local Lipschitz regularity for quasilinear equations in the Heisenberg group

DOI10.1016/j.na.2021.112453zbMath1472.35420arXiv1804.00751OpenAlexW2795506988MaRDI QIDQ1979258

Shirsho Mukherjee

Publication date: 2 September 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00751

zbMATH Keywords

Heisenberg groupquasilinear equationLipschitz regularitysub-elliptic \(p\)-Laplace equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Regularity of quasi-linear equations with Hörmander vector fields of step two ⋮ Regularity for $p$-Harmonic Functions in the Grušin Plane ⋮ \(C^{1, \alpha}\)-regularity of quasilinear equations on the Heisenberg group ⋮ Unnamed Item ⋮ Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group

Cites Work

• Regularity for elliptic equations with general growth conditions
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• 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
• 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
• 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
• 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
• Linear and quasilinear elliptic equations
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Subelliptic Cordes estimates
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Regularity of quasi-linear equations in the Heisenberg group
• An Introduction to Variational Inequalities and Their Applications
• 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
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