A note on the topological degree at a critical point of mountainpass-type
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- by Helmut Hofer
- Proc. Amer. Math. Soc. 90 (1984), 309-315
- DOI: https://doi.org/10.1090/S0002-9939-1984-0727256-0
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Abstract:
In this note we will show that the local degree at an isolated critical point given by the Ambrosetti-Rabinowitz mountainpass-theorem is $- 1$ for a large class of functionals. This class includes for example those functionals arising in the study of second order elliptic equations.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 309-315
- MSC: Primary 58E05; Secondary 47H15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0727256-0
- MathSciNet review: 727256