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The degree of the gradient of a coercive functional

Part of: Classical Topics in Algebraic Topology Calculus on manifolds; nonlinear operators

Published online by Cambridge University Press:  09 April 2009

Ross H. McKenzie
Ross H. McKenzie
Affiliation:
Department of Physics Joseph Henry Laboratories Jadwin Hall, P. O. Box 708Princeton UniversityPrinceton, New Jersey 08544, U.S.A.
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Abstract

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An elementary proof is given of a theorem of Castro and Lazer that the degree of the gradient of a coercive functional on a large ball of Rn is one.

MSC classification

Secondary: 58C05: Real-valued functions 55M25: Degree, winding number

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 3 , December 1984 , pp. 413 - 415
Copyright
Copyright © Australian Mathematical Society 1984

References

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