Resolubility of ideal boundary for nonlinear Dirichlet problems
type: Item
instance of: scholarly article
title: Resolubility of ideal boundary for nonlinear Dirichlet problems
zbMATH Open document ID: 0958.31007
author: Fumi-Yuki Maeda
author: Takayori Ono
published in: Journal of the Mathematical Society of Japan
publication date: 2001-04-10T00:00:00Z
review text: The paper deals with divergence form quasilinear elliptic differential equations of the form \[ -\text{div } A(x,\nabla u)+B(x,u)=0 \] on a domain \(\Omega\) of \({\mathbb R}^N,\) \(N\geq 2,\) where the functions \(A\) and \(B\) satisfy some natural growth conditions. By the Perron-Wiener-Brelot method, the authors show that the ideal boundary of the Royden type compactification of \(\Omega\) is resoluble with respect to the Dirichlet problem for the above equation.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 31C45
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 31B20
zbMATH DE Number: 1529888
zbMATH Keywords: nonlinear Dirichlet problem
zbMATH Keywords: resolubility of ideal boundary
zbMATH Keywords: Perron-Wiener-Brelot method
zbMATH Keywords: quasilinear elliptic equations of divergence form
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05230561
OpenAlex ID: W1983669945
DOI: 10.2969/JMSJ/05230561
description: scientific article; zbMATH DE number 1529888