Properness and topological degree for general elliptic operators

The paper is devoted to general elliptic operators in Hölder spaces in bounded or unbounded domains. We discuss the Fredholm property of linear operators and properness of nonlinear operators. We construct a topological degree for Fredholm and proper operators of index zero.

Authors
Volpert V. 1, 3 , Volpert A. 2
Publisher
Hindawi Publishing Corporation
Issue number
3
Language
English
Pages
129-181
State
Published
Volume
2003
Year
2003
Organizations
  • 1 Mathématiques Appliquées, UMR 5585 CNRS, Université Lyon 1, Villeurbanne 69622, France
  • 2 Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel
  • 3 Peoples’ Friendship University of Russia
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