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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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


Author: James C. Scovel
Journal: Proc. Amer. Math. Soc. 93 (1985), 751-753
MSC: Primary 55M25; Secondary 58C05, 58E05
DOI: https://doi.org/10.1090/S0002-9939-1985-0776215-1
MathSciNet review: 776215
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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 $ {{\mathbf{R}}^n}$ is one.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0776215-1
Article copyright: © Copyright 1985 American Mathematical Society