A simple intuitive proof of a theorem in degree theory for gradient mappings-Reference-Cited by-同舟云学术

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A simple intuitive proof of a theorem in degree theory for gradient mappings

Published:1985 Issue:4 Volume:93 Page:751-753
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Scovel James C.

Abstract

We give a simple, intuitive proof of a known theorem: the degree of the gradient of a coercive functional on a large ball in R n {{\mathbf {R}}^n} is one.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-093-04/S0002-9939-1985-0776215-1/S0002-9939-1985-0776215-1.pdf

Reference6 articles.

1. A note on degree theory for gradient mappings;Amann, Herbert;Proc. Amer. Math. Soc.,1982

2. Translations of Mathematical Monographs, Vol. 19;Krasnosel′skiĭ, M. A.,1968

3. Variational and topological methods in nonlinear problems;Nirenberg, L.;Bull. Amer. Math. Soc. (N.S.),1981

4. A note on topological degree for potential operators;Rabinowitz, Paul H.;J. Math. Anal. Appl.,1975

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