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Boundedness of the Hessian of a Biharmonic Function in a Convex Domain - MaRDI portal

Boundedness of the Hessian of a Biharmonic Function in a Convex Domain (Q3532805)

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Language	Label	Description	Also known as
English	Boundedness of the Hessian of a Biharmonic Function in a Convex Domain	scientific article

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scholarly article

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Boundedness of the Hessian of a Biharmonic Function in a Convex Domain (English)

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Svitlana Mayboroda

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Vladimir Gilelevich Maz'ya

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Communications in Partial Differential Equations

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publication date

28 October 2008

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full work available at URL

https://arxiv.org/abs/math/0611058

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zbMATH Keywords

biharmonic equation

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convex domain

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Dirichlet problem

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MaRDI profile type

MaRDI publication profile

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\(L^ p\)-integrability of the second order derivatives of Green potentials in convex domains

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The inhomogeneous Dirichlet problem for \(\Delta^2\) in Lipschitz domains

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

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The Dirichlet problem for the biharmonic equation in a Lipschitz domain

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Regularity of the Dirichlet problem in convex domains in the plane

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Third derivative estimates for Dirichlet's problem in convex domains

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Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary

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Sharp estimates for Green potentials on non-smooth domains

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The Wiener test for higher order elliptic equations.

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On the Agmon-Miranda maximum principle for solutions of strongly elliptic equations in domains of \(\mathbb{R}{}^ n\) with conical points

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The Dirichlet Problem in L p for the Biharmonic Equation on Lipschitz Domains

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A maximum principle for biharmonic functions in Lipschitz and \(C^ 1\) domains

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Dilation invariant estimates and the boundary Gårding inequality for higher order elliptic operators

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Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains

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On estimates of biharmonic functions on Lipschitz and convex domains

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Identifiers

zbMATH Open document ID

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10.1080/03605300801891919

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

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