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Multiple nontrivial solutions for resonant Neumann problems

✍ Scribed by Michael Filippakis; Nikolaos S. Papageorgiou

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
172 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider semilinear second order elliptic Neumann problems, which are resonant both at infinity (with respect to an eigenvalue Ξ»~k~, k β‰₯ 1) and at zero (with respect to the principal eigenvalue Ξ»~0~ = 0). Using techniques from Morse theory, combined with variational methods, we are able to show that the problem has at least four nontrivial smooth solutions (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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