Regularity results for \(p\)-harmonic functions in higher order Grušin planes
type: Item
instance of: scholarly article
title: Regularity results for \(p\)-harmonic functions in higher order Grušin planes
zbMATH Open document ID: 1180.35179
author: András Domokos
author: Juan J. Manfredi
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2010-01-11T00:00:00Z
Mathematics Subject Classification ID: 35H20
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 5655730
zbMATH Keywords: Grušin plane
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: weak solutions
zbMATH Keywords: interior regularity
zbMATH Keywords: Moser iteration scheme
MaRDI profile type: Publication
full work available at URL: s10231-009-0097-6
OpenAlex ID: W2049054961
cites work: Q4718346
cites work: Regularity of quasi-linear equations in the Heisenberg group
cites work: Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
cites work: Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
cites work: Q3431852
cites work: Hypoelliptic second order differential equations
cites work: Regularity results for quasilinear elliptic equations in the Heisenberg group
cites work: \(C^{1,\alpha}\) local regularity for the solutions of the \(p\)-Laplacian on the Heisenberg group for \(2 \leq p < 1 + \sqrt{5}\)
cites work: Gradient regularity for elliptic equations in the Heisenberg group
cites work: Higher interior regularity for quasilinear subelliptic systems
DOI: 10.1007/S10231-009-0097-6
Recommended article: Regularity of \(p\)-harmonic functions on the plane
Recommended article: \(C^1\) regularity of orthotropic \(p\)-harmonic functions in the plane
Recommended article: Q3136934
Recommended article: Q3594080
Recommended article: Q4497403
Recommended article: On the regularity of scalar \(p\)-harmonic functions in \(n\) dimensions with \(2 \leq p < n\)
Recommended article: Q4670247
Recommended article: p-Harmonic Functions in the Plane
Recommended article: 𝐶¹-regularity of planar ∞-harmonic functions—revisited
Recommended article: On certain p-harmonic functions in the plane
description: scientific article; zbMATH DE number 5655730