L...-estimates for Green potentials in Lipschitz domains.

Björn E.J. Dahlberg

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Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains

Carlos E. Kenig (1983-1984)

Séminaire Équations aux dérivées partielles (Polytechnique)

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On the Moments of Functions Satisfying a Lipschitz Condition.

Jörgen Löfström (1968)

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A Note on Contraproduction Domains.

Thomas G. McLaughlin (1962)

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A regularity result for boundary value problems on Lipschitz domains

Ding Hua (1989)

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The Dirichlet problem for the biharmonic equation in a Lipschitz domain

Carlos E. Kenig (1984-1985)

Séminaire Équations aux dérivées partielles (Polytechnique)

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The Dirichlet problem for the biharmonic equation in a Lipschitz domain

Björn E. J. Dahlberg, C. E. Kenig, G. C. Verchota (1986)

Annales de l'institut Fourier

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In this paper we study and give optimal estimates for the Dirichlet problem for the biharmonic operator $Δ^{2}$ , on an arbitrary bounded Lipschitz domain $D$ in $R^{n}$ . We establish existence and uniqueness results when the boundary values have first derivatives in $L^{2} (\partial D)$ , and the normal derivative is in $L^{2} (\partial D)$ . The resulting solution $u$ takes the boundary values in the sense of non-tangential convergence, and the non-tangential maximal function of $\nabla u$ is shown to be in $L^{2} (\partial D)$ .

Plurisubharmonic functions on smooth domains.

John Erik Fornaess (1983)

Mathematica Scandinavica

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An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.

Pascal Auscher, Philippe Tchamitchian (1999)

Publicacions Matemàtiques

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We prove a commutator inequality of Littlewood-Paley type between partial derivatives and functions of the Laplacian on a Lipschitz domain which gives interior energy estimates for some BVP. It can be seen as an endpoint inequality for a family of energy estimates.

Lipschitz r-continuity of the approximative subdifferential of a convex function.

J.-B. Hiriart-Urruty (1980)

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Existence and Properties of Riesz Potentials Satisfying Lipschitz Conditions.

Hans Wallin (1966)

Mathematica Scandinavica

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