Hölder estimates for elliptic equations degenerate on part of the boundary of a domain
type: Item
instance of: scholarly article
title: Hölder estimates for elliptic equations degenerate on part of the boundary of a domain
zbMATH Open document ID: 1261.35066
author: Lihe Wang
author: Qiao-Zhen Song
published in: Manuscripta Mathematica
publication date: 2012-09-19T00:00:00Z
review text: In this paper, the authors consider an elliptic equation which is partially degenerate on the boundary of a domain. The degeneracy is of Keldysh type. By the construction of some barrier functions and the interpolation of the estimates of uniformly elliptic operators, they prove global Hölder estimates when some well-posed boundary conditions are satisfied.
reviewed by: Mohammed Bouchekif
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35H20
zbMATH DE Number: 6084035
zbMATH Keywords: Hölder estimates
zbMATH Keywords: elliptic equation
zbMATH Keywords: degeneracy on part of the boundary
zbMATH Keywords: degeneracy of Keldysh type
MaRDI profile type: Publication
full work available at URL: s00229-011-0512-3
OpenAlex ID: W2020539867
cites work: Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
cites work: An elliptic problem arising from the unsteady transonic small disturbance equation
cites work: The fundamental solution of the Keldysh type operator
cites work: Regularity of the free boundary for the porous medium equation
cites work: Hypoelliptic second order differential equations
cites work: Hölder estimates for subelliptic operators
DOI: 10.1007/S00229-011-0512-3
description: scientific article; zbMATH DE number 6084035