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Supercritical biharmonic elliptic problems in domains with small holes
Author(s) -
Guo Yuxia,
Wei Juncheng
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610814
Subject(s) - biharmonic equation , mathematics , bounded function , supercritical fluid , domain (mathematical analysis) , elliptic curve , image (mathematics) , sequence (biology) , mathematical analysis , pure mathematics , chemistry , physics , thermodynamics , computer science , boundary value problem , biochemistry , artificial intelligence
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 ),with p supercritical, namely . We find a sequence of resonant exponentssuch 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)