On the oblique derivative problem in an infinite angle
type: Item
instance of: scholarly article
title: On the oblique derivative problem in an infinite angle
zbMATH Open document ID: 0897.35023
DOI: 10.12775/TMNA.1996.014
published in: Topological Methods in Nonlinear Analysis
publication date: 1998-03-11T00:00:00Z
review text: The authors deal with the elliptic boundary value problem \[ -\Delta u+su= f \text{ in }\Omega,\;{\partial \over\partial n} u+h_i{\partial \over\partial r} u=\varphi_i \text{ on } \gamma_i,\;(i=1,2), \] where \(\gamma_i\) are the sides of an infinite angle \(\Omega\) in \(\mathbb{R}^2\) and \(h_i\in \mathbb{R}\), \(s\in C\), \(\text{Re} s\geq 0\). They present a solution theory in weighted Sobolev spaces and indicate applications to a corresponding parabolic problem.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 1127675
zbMATH Keywords: unbounded domain
zbMATH Keywords: corner domain
zbMATH Keywords: weighted Sobolev spaces
author: Maria Giovanna Garroni
author: V. A. Solonnikov
author: Maria Agostina Vivaldi
reviewed by: Norbert Weck
MaRDI profile type: Publication
full work available at URL: tmna.1996.014
OpenAlex ID: W2601184132
description: scientific article; zbMATH DE number 1127675