✦ LIBER ✦

On the principal eigenvalue of degenerate quasilinear elliptic systems

✍ Scribed by Nikolaos B. Zographopoulos

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 214 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200510683

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✦ Synopsis

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 eigenfunctions is established. The extension of the main result in the case of an unbounded domain is also discussed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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