Properness and topological degree for general elliptic operators
type: Item
instance of: scholarly article
title: Properness and topological degree for general elliptic operators
zbMATH Open document ID: 1030.35038
DOI: 10.1155/S1085337503204073
published in: Abstract and Applied Analysis
publication date: 2003-03-17T00:00:00Z
full work available at URL: https://eudml.org/doc/50545
review text: The authors study elliptic operators in Hölder spaces: the Fredholm property for linear operators, properness and topological degree for nonlinear operators. The construction of the degree uses both the Fredholm property and the properness. Moreover, they also discuss the main ideas underlying normal solvability, properness and topological degree for general elliptic operators in the Douglis-Nirenberg sense.
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 1883743
zbMATH Keywords: Hölder space
zbMATH Keywords: Fredholm property
zbMATH Keywords: nonlinear operators
author: Vitaly Volpert
author: A. I. Volpert
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
OpenAlex ID: W2084297791
Recommended article: Topological degree for a class of elliptic operators in \(\mathbb{R}^n\)
Recommended article: Q3467921
Recommended article: Q3496614
Recommended article: Topological degree for elliptic operators in unbounded cylinders
Recommended article: Topological degree for a class of operators and applications
Recommended article: Q4276019
Recommended article: Q4040254
Recommended article: Q4986385
Recommended article: Topological degree and A-proper operators
Recommended article: Topological degree and applications to elliptic problems with discontinuous nonlinearity
description: scientific article; zbMATH DE number 1883743