Results 51 to 60 of about 476,746 (208)
Graphs of bounded degree and the $p$-harmonic boundary
, 2010 Let $p$ be a real number greater than one and let $G$ be a connected graph of bounded degree. In this paper we introduce the $p$-harmonic boundary of $G$.
Puls, Michael J.
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A Lower Bound for the Gradient of Infinity-Harmonic Functions
Electronic Journal of Differential Equations, 1996 to $infty$-Laplace equation in a strongly star-shaped annulus with capacity type boundary conditions. The proof involves properties of the radial derivative of the solution, so that starshapedness of level sets easily follows.
Edi Rosset
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Construction of Planar Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2007 Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri +2 more
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A Probabilistic Characterization of g-Harmonic Functions
AIMS Mathematics, 2017 Associated with a quasi-linear generator function g, we give a definition of g-harmonic functions. The relation between the g-harmonic functions and g-martingales will be delineated.
Liang Cai, Huan-Huan Zhang, Li-Yun Pan
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The fractional Malmheden theorem
Mathematics in Engineering, 2023 We provide a fractional counterpart of the classical results by Schwarz and Malmheden on harmonic functions. From that we obtain a representation formula for $ s $-harmonic functions as a linear superposition of weighted classical harmonic functions ...
Serena Dipierro +2 more
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Harmonic Beta-Preinvex Functions and Inequalities
International Journal of Analysis and Applications, 2017 In this paper, we introduce and study a new class of harmonic convex functions which is called harmonic beta-preinvex functions. We establish some estimates, involving the Euler Beta function and the Hypergeometric function of the integral $\int_a^{a ...
Muhammad Aslam Noor +2 more
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On the Approximation of Entire Harmonic Functions in ℝn Having Slow Growth
Journal of Mathematics, 2022 The generalized growth of entire transcendental functions in terms of polynomial approximation errors in some Banach spaces has been studied by various authors.
Devendra Kumar, A. Ghareeb
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Generalized $1$-harmonic Equation and The Inverse Mean Curvature Flow
, 2010 We introduce and study generalized $1$-harmonic equations (1.1). Using some ideas and techniques in studying $1$-harmonic functions from [W1] (2007), and in studying nonhomogeneous $1$-harmonic functions on a cocompact set from [W2, (9.1)] (2008), we ...
Ai-Nung Wang +20 more
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Harmonic m-Preinvex Functions and Inequalities
International Journal of Analysis and Applications, 2018 In this paper, we introduce a new class of harmonic functions, which is called harmonic mpreinvex functions for a fixed m. Some Hermite-Hadamard inequality for harmonic m-preinvex functions are derived. Several special cases are discussed as applications
Muhammad Aslam Noor +3 more
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On harmonic functions on trees [PDF]
Potential Analysis, 2001 Publicado
Domingo Pestana +3 more
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