Surface integrals and harmonic functions.

Movshovich, Yevgenya

Displaying similar documents to “Surface integrals and harmonic functions.”

A free boundary problem related to single-layer potentials.

Ebenfelt, P., Khavinson, D., Shapiro, H. S. (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^{n} \times ℝ^{m}$ , m ≥ 2

Ewa Ligocka (1999)

Annales Polonici Mathematici

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We study series expansions for harmonic functions analogous to Hartogs series for holomorphic functions. We apply them to study conjugate harmonic functions and the space of square integrable harmonic functions.

Boundary properties of functions with finite Dirichlet integrals

J. L. Doob (1962)

Annales de l'institut Fourier

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L’auteur étudie dans un espace de Green (en particulier un domaine borné de $R^{n}$ ) les fonctions $B L D$ (limites en un certain sens des fonctions assez régulières à intégrale de Dirichlet finie). On se ramène au cas harmonique montré qu’une telle fonction harmonique $u$ est solution d’un problème de Dirichlet-Martin (c’est-à-dire correspond à une donnée $u^{'}$ sur la frontière de Martin), ce qui entraîne l’existence d’une limite “fine” $u^{'}$ p.p. Cela résulte de travaux antérieurs et de la remarque que...

Boundary estimates for derivatives of harmonic functions

Frank Beatrous (1991)

Studia Mathematica

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Removable singularities for bounded $p$ -harmonic functions and quasi(super)harmonic functions.

Björn, Anders (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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Harmonic functions on classical rank one balls

Philippe Jaming (2001)

Bollettino dell'Unione Matematica Italiana

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In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).

$f$ -harmonic maps which map the boundary of the domain to one point in the target.

Course, Neil (2007)

The New York Journal of Mathematics [electronic only]

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Böcher's theorem in a space of dimension one

Premalatha, T. Sowmya (2000)

Annales mathématiques Blaise Pascal

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