Differential equations and implicit function: A generalization of the near operators theorem
type: Item
instance of: scholarly article
title: Differential equations and implicit function: A generalization of the near operators theorem
zbMATH Open document ID: 0913.47061
DOI: 10.12775/TMNA.1998.007
author: Antonio Tarsia
published in: Topological Methods in Nonlinear Analysis
publication date: 1998-11-03T00:00:00Z
review text: The author uses the notion of ``near'' operators of \(S\). Campanato to give an implicit function theorem for an operator \(F(x,y)\) ``near'' to an injective operator. As consequence he studies the existence and uniqueness of the solution to some elliptic systems and the stability of the openness property for ``near'' operators.
reviewed by: Marco Biroli
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 47H99
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 58C15
zbMATH DE Number: 1218090
zbMATH Keywords: near operators
zbMATH Keywords: implicit function theorem
zbMATH Keywords: injective operator
zbMATH Keywords: elliptic systems
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1218090