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On variational principles for the generalized principal eigenvalue of second order elliptic operators and some applications

✍ Scribed by Roger D. Nussbaum; Yehuda Pinchover


Book ID
112895051
Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
668 KB
Volume
59
Category
Article
ISSN
0021-7670

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In this paper the work of Berestycki, Nirenberg and Varadhan on the maximum principle and the principal eigenvalue for second order operators on general domains is extended to Riemannian manifolds. In particular it is proved that the refined maximum principle holds for a second order elliptic operat