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The asymptotic shift for the principal eigenvalue for second order elliptic operators in the presence of small obstacles

✍ Scribed by Iddo Ben-Ari


Book ID
107529142
Publisher
The Hebrew University Magnes Press
Year
2008
Tongue
English
Weight
381 KB
Volume
169
Category
Article
ISSN
0021-2172

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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