Some remarks on the Hildebrandt-Graves theorem
type: Item
instance of: scholarly article
title: Some remarks on the Hildebrandt-Graves theorem
zbMATH Open document ID: 0823.47061
DOI: 10.4171/ZAA/664
author: A. Vignoli
author: Peter P. Zabreĭko
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1995-03-30T00:00:00Z
review text: Summary: This paper is concerned with a generalization of the Hildebrandt-Graves implicit function theorem building on a weaker acting condition for the derivative of the nonlinear operator involved. The abstract theorem is illustrated by means of an application to nonlinear singular integral equations where classical implicit function theorems do not apply.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 26B10
zbMATH DE Number: 739095
zbMATH Keywords: Hildebrandt-Graves implicit function theorem
zbMATH Keywords: derivative of the nonlinear operator
zbMATH Keywords: nonlinear singular integral equations
MaRDI profile type: Publication
cites work: Q4040886
cites work: On operators in generalized Hölder spaces
cites work: On implicit function theorems and the existence of solutions of non- linear equations
cites work: Q3930193
cites work: Q3218622
cites work: Strong Derivatives and Inverse Mappings
cites work: Q3988417
full work available at URL: https://doi.org/10.4171/zaa/664
OpenAlex ID: W1981347470
description: scientific article; zbMATH DE number 739095