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

Scovel, James C.

doi:10.1090/S0002-9939-1985-0776215-1

A simple intuitive proof of a theorem in degree theory for gradient mappings
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by James C. Scovel PDF

Proc. Amer. Math. Soc. 93 (1985), 751-753 Request permission

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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