Continuity of a surface in Fréchet spaces (Q2280096)

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Language	Label	Description	Also known as
English	Continuity of a surface in Fréchet spaces	scientific article

Statements

scholarly article

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Continuity of a surface in Fréchet spaces (English)

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Philippe G. Ciarlet

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Christinel Mardare

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Comptes Rendus. Mathématique. Académie des Sciences, Paris

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publication date

17 December 2019

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zbMATH Keywords

fundamental form

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Fréchet topology

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.crma.2019.10.010

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The continuity of a surface as a function of its two fundamental forms.

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RECOVERY OF A SURFACE WITH BOUNDARY AND ITS CONTINUITY AS A FUNCTION OF ITS TWO FUNDAMENTAL FORMS

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Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\)

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A surface in \(W^{2,p}\) is a locally Lipschitz-continuous function of its fundamental forms in \(W^{1,p}\) and \(L^p\), \(p>2\)

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Continuity in Fréchet topologies of a surface as a function of its fundamental forms

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On Pfaff systems with \(L^p\) coefficients and their applications in differential geometry

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Identifiers

zbMATH Open document ID

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10.1016/j.crma.2019.10.010

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2280096

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