Multiple layer potentials for the quadrant and their application to the Dirichlet problem in plane domains with a piecewise smooth boundary

Günter Albinus

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Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary

Vladimir Kozlov, Vladimir Maz'ya (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We derive an asymptotic formula of a new type for variational solutions of the Dirichlet problem for elliptic equations of arbitrary order. The only a priori assumption on the coefficients of the principal part of the equation is the smallness of the local oscillation near the point.

Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data

J. Chabrowski (1984)

Rendiconti del Seminario Matematico della Università di Padova

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Classical solution to a second order nonlinear elliptic system in $R_{3}$

J. Nečas, J. Stará, R. Švarc (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Regularity of the solution of some transmission problems in domains with cuspidal point

W. Chickouche, Serge Nicaise (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

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Regularity results for transmission problems in domains with (outgoing) cuspidal points are considered. We prove in some special but generic situations that the solution is piecewise in $H^{2}$ .

A construction of parametrices of elliptic boundary value problems

Bergamasco, Adalberto P., Petronilho, Gerson (1993)

Portugaliae mathematica

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The $L_{p}$ approach to the Dirichlet problem. Part I : regularity theorems

Shmuel Agmon (1959)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Displaying similar documents to “Multiple layer potentials for the quadrant and their application to the Dirichlet problem in plane domains with a piecewise smooth boundary”

Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary

Dirichlet problem for a linear elliptic equation in unbounded domains with L 2 -boundary data

Classical solution to a second order nonlinear elliptic system in R 3

Regularity of the solution of some transmission problems in domains with cuspidal point

A construction of parametrices of elliptic boundary value problems

The L p approach to the Dirichlet problem. Part I : regularity theorems

Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data

Classical solution to a second order nonlinear elliptic system in $R_{3}$

The $L_{p}$ approach to the Dirichlet problem. Part I : regularity theorems