Supercritical biharmonic elliptic problems in domains with small holes

✍ Scribed by Yuxia Guo; Juncheng Wei

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 204 KB
• Volume: 282
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200610814

✦ Synopsis

Abstract

Let D be a bounded and smooth domain in R^N^, N ≥ 5, P ∈ D. We consider the following biharmonic elliptic problemin Ω = D _B~δ~_ (P),
equation image
with p supercritical, namely . We find a sequence of resonant exponents
equation image
such that if is given, with p ≠ p~j~ for all j, then for all δ > 0 sufficiently small, this problem is solvable (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)