Divergent type quasilinear Dirichlet problem with singularities
type: Item
instance of: scholarly article
title: Divergent type quasilinear Dirichlet problem with singularities
zbMATH Open document ID: 1114.46030
published in: Acta Applicandae Mathematicae
publication date: 2006-11-27T00:00:00Z
review text: The Dirichlet problem is considered for a quasilinear elliptic equation with singular data and singular coefficients. The authors use the Leray-Schauder fixed point theorem in the framework of nets of equations with a priori estimates controlled by the growth-order of constants in these estimates. They transfer and improve some results from the classical theory of quasi-linear elliptic problems given by \textit{D. Gilbarg} and \textit{N. S. Trudinger} in [Elliptic partial differential equations of second-order (Springer-Verlag, 1983; Zbl 0562.35001)] in the frame of a certain generalized function algebra.
Mathematics Subject Classification ID: 46F30
Mathematics Subject Classification ID: 35A27
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 5076268
zbMATH Keywords: Dirichlet problem with singularities
zbMATH Keywords: algebra of generalized functions
zbMATH Keywords: Colombeau extension
author: Stevan Pilipović
author: D. Scarpalezos
reviewed by: László Simon
MaRDI profile type: Publication
full work available at URL: s10440-006-9067-9
OpenAlex ID: W2001981459
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DOI: 10.1007/S10440-006-9067-9
description: scientific article; zbMATH DE number 5076268