On nonhomogeneous -harmonic equations and 1-harmonic equations.
Lin, En-Bing (2010)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Counting dimensions of -harmonic functions.”
On nonhomogeneous -harmonic equations and 1-harmonic equations.
On the Hartogs-type series for harmonic functions on Hartogs domains in , 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.
A Radó type theorem for -harmonic functions in the plane.
Kilpeläinen, Tero (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nonlinear harmonic measures on trees.
Kaufman, Robert, Llorente, José G., Wu, Jang-Mei (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Harmonic morphisms and subharmonic functions.
Choi, Gundon, Yun, Gabjin (2005)
International Journal of Mathematics and Mathematical Sciences
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On the biharmonicity of product maps.
Todjihounde, Leonard (2006)
International Journal of Mathematics and Mathematical Sciences
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A remark on gradients of harmonic functions.
Wen Sheng Wang (1995)
Revista Matemática Iberoamericana
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In any C domain, there is nonzero harmonic function C continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
-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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On generalized -harmonic morphisms
A. Mohammed Cherif, Djaa Mustapha (2014)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we study the characterization of generalized -harmonic morphisms between Riemannian manifolds. We prove that a map between Riemannian manifolds is an -harmonic morphism if and only if it is a horizontally weakly conformal map satisfying some further conditions. We present new properties generalizing Fuglede-Ishihara characterization for harmonic morphisms ([Fuglede B., Harmonic morphisms between Riemannian manifolds, Ann. Inst. Fourier (Grenoble) 28 (1978), 107–144],...
Removable singularities for bounded -harmonic functions and quasi(super)harmonic functions.
Björn, Anders (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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