On the sharpness of the Stolz approach.
Di Biase, Fausto, Stokolos, Alexander, Svensson, Olof, Weiss, Tomasz (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “On a conjecture relative to the maximum of harmonic functions on convex domains: Unbounded domains.”
On the sharpness of the Stolz approach.
An inverse problem for a general doubly-connected bounded domain with impedance boundary conditions.
Zayed, E.M.E. (1996)
Portugaliae Mathematica
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Disturbing the Dyson conjecture (in a GOOD way).
Sills, Andrew V., Zeilberger, Doron (2006)
Experimental Mathematics
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On a sequence of (j, ε)-normal approximations to π/4 and the Brouwer conjecture
R. Stoneham (1983)
Acta Arithmetica
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A measure of asymmetry for domains of constant width.
Groemer, H., Wallen, L.J. (2001)
Beiträge zur Algebra und Geometrie
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Regulated domains and Bergman type projections.
Taskinen, Jari (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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An isoperimetric inequality for logarithmic capacity.
Barnard, Roger W., Pearce, Kent, Solynin, Alexander Yu. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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On the solution of some non-local problems
F. Criado, Jr. Criado, F., N. Odishelidze (2004)
Czechoslovak Mathematical Journal
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This paper deals with two types of non-local problems for the Poisson equation in the disc. The first of them deals with the situation when the function value on the circle is given as a combination of unknown function values in the disc. The other type deals with the situation when a combination of the value of the function and its derivative by radius on the circle are given as a combination of unknown function values in the disc. The existence and uniqueness of the classical solution...
Boundary behavior of subharmonic functions in nontangential accessible domains
Shiying Zhao (1994)
Studia Mathematica
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The following results concerning boundary behavior of subharmonic functions in the unit ball of are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek’s theorem on the -nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.
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. ) and for non negative solutions of the equation .