A note on the topological degree at a critical point of mountainpass-type-Reference-Cited by-同舟云学术

A note on the topological degree at a critical point of mountainpass-type

Published:1984 Issue:2 Volume:90 Page:309-315
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hofer Helmut

Abstract

In this note we will show that the local degree at an isolated critical point given by the Ambrosetti-Rabinowitz mountainpass-theorem is − 1 - 1 for a large class of functionals. This class includes for example those functionals arising in the study of second order elliptic equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-090-02/S0002-9939-1984-0727256-0/S0002-9939-1984-0727256-0.pdf

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5. A relation between the type numbers of a critical point and the index of the corresponding field of gradient vectors;Rothe, Erich H.;Math. Nachr.,1951

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