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The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues

✍ Scribed by Marita Gazzini; Enrico Serra

Book ID: 108052933
Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 260 KB
Volume: 25
Category: Article
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2006.09.003

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## Abstract Rewriting the higher order Poisson equation Δ^__n__^ __u__ = __f__ in a plane domain as a system of Poisson equations it is immediately clear what boundary conditions may be prescribed in order to get (unique) solutions. Neumann conditions for the Poisson equation lead to higher‐order N