The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point
type: Item
instance of: scholarly article
title: The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point
zbMATH Open document ID: 1335.35040
author: M. V. Borsuk
author: Yu. A. Alkhutov
published in: Journal of Mathematical Sciences (New York)
publication date: 2016-01-19T00:00:00Z
review text: The paper studies the regularity and a priori estimates for \(p(x)\)-harmonic functions on a finite dimensional Euclidean space with vertex at the origin. The function \(p(x)\) is supposed to be Lipschitz or Hölder continuous.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 6532735
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: conical domain
zbMATH Keywords: variable exponent
zbMATH Keywords: regularity
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s10958-015-2570-7
OpenAlex ID: W2226430040
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DOI: 10.1007/S10958-015-2570-7
description: scientific article; zbMATH DE number 6532735