Supercritical biharmonic elliptic problems in domains with small holes | Zendy

Guo Yuxia | Zendy; Wei Juncheng | Zendy

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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)

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