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Hamiltonian identities for elliptic partial differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2008 English Publisher:Elsevier BVJournal:Journal of Functional Analysis, volume 254, pages 904-933 (issn: 0022-1236, Copyright policy )
Authors: Changfeng Gui; Changfeng Gui;

doi: 10.1016/j.jfa.2007.10.015

Hamiltonian identities for elliptic partial differential equations

Abstract

AbstractNew identities for elliptic partial differential equations are obtained. Several applications are discussed. In particular, Young's law for the contact angles in triple junction formation is proven rigorously. Structure of level curves of saddle solutions to Allen–Cahn equation are also carefully analyzed.

Related Organizations
Keywords

Symmetry, Hamiltonian identity, Saddle solutions, Level set, Contact angle, Analysis, Elliptic partial differential equations and systems, Phase transition

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
52
Top 10%
Top 10%
Top 10%
hybrid