A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.
Boutaleb, Mohamed (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “An infinite-harmonic analogue of a Lelong theorem and infinite-harmonicity cells.”
A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.
A note on non-negative singular infinity-harmonic functions in the half-space.
Tilak Bhattacharya (2005)
Revista Matemática Complutense
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In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|.
Remarks on the gradient of an infinity-harmonic function.
Bhattacharya, Tilak (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On the properties of infinity-harmonic functions and an application to capacitary convex rings.
Bhattacharya, Tilak (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Example of an -harmonic function which is not on a dense subset.
Mikayelyan, Hayk (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Holomorphic functions with singularities on algebraic sets.
Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Singular -harmonic functions and related quasilinear equations on manifolds.
Véron, Laurent (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nonbasic harmonic maps onto convex wedges
Josephi Cima, Alberti Livingston (1993)
Colloquium Mathematicae
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We construct a nonbasic harmonic mapping of the unit disk onto a convex wedge. This mapping satisfies the partial differential equation where a(z) is a nontrivial extreme point of the unit ball of .
On Lempert functions in .
Jarnicki, Witold (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Analytic solution to a class of integro-differential equations.
Xie, Xuming (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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New examples of effective formulas for holomorphically contractible functions
Marek Jarnicki, Peter Pflug (1999)
Studia Mathematica
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Let and be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.
Some properties of the extreme values of infinity-harmonic functions.
Bhattacharya, Tilak (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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