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On a class of quasilinear eigenvalue problems in RN

✍ Scribed by Alexandru Kristály; Csaba Varga

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
189 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We study an eigenvalue problem in R^N^ which involves the p ‐Laplacian (p > N ≥ 2) and the nonlinear term has a global (p – 1)‐sublinear growth. The existence of certain open intervals of eigenvalues is guaranteed for which the eigenvalue problem has two nonzero, radially symmetric solutions. Some stability properties of solutions with respect to the eigenvalues are also obtained. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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