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On the asymptotic behavior of the principal eigenvalues of some elliptic problems

โœ Scribed by Tomas Godoy; Jean-Pierre Gossez; Sofia Paczka


Publisher
Springer
Year
2009
Tongue
English
Weight
337 KB
Volume
189
Category
Article
ISSN
0373-3114

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โœ Nikolaos B. Zographopoulos ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 214 KB

## Abstract We study the properties of the positive principal eigenvalue of a degenerate quasilinear elliptic system. We prove that this eigenvalue is simple, unique up to positive eigenfunctions and isolated. Under certain restrictions on the given data, the regularity of the corresponding eigenfu