Thinness and non-tangential limit associated to coupled PDE

Allami Benyaiche; Salma Ghiate

Displaying similar documents to “Thinness and non-tangential limit associated to coupled PDE”

Martin boundary associated with a system of PDE

Allami Benyaiche, Salma Ghiate (2006)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we study the Martin boundary associated with a harmonic structure given by a coupled partial differential equations system. We give an integral representation for non negative harmonic functions of this structure. In particular, we obtain such results for biharmonic functions (i.e. $▵^{2} ϕ = 0$ ) and for non negative solutions of the equation $▵^{2} ϕ = ϕ$ .

On minimal positive harmonic functions

Kohur Gowrisankaran (1966-1967)

Séminaire Brelot-Choquet-Deny. Théorie du potentiel

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On harmonic majorization of the Martin function at infinity in a cone

I. Miyamoto, Minoru Yanagishita, H. Yoshida (2005)

Czechoslovak Mathematical Journal

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This paper shows that some characterizations of the harmonic majorization of the Martin function for domains having smooth boundaries also hold for cones.