Results 61 to 70 of about 476,746 (208)
Existence of solutions for a sublinear system of elliptic equations
Electronic Journal of Differential Equations, 2000 We study the existence of non-trivial non-negative solutions for the system $$ displaylines{ -Delta u = |x|^av^p cr Delta v = |x|^bu^q,, }$$ where $p$ and $q$ are positive constants with $pq2$) except for the center zero.
Carlos Cid, Cecilia Yarur
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BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 It is shown that there are the differential operators that transform three-dimensional homogeneous harmonic functions into new three-dimensional homogeneous harmonic functions.
Berdnikov Alexander +3 more
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Mathematical Modelling and Analysis, 2013 In this paper, we discuss some properties on hyperbolic-harmonic functions in the unit ball of ℂ n . First, we investigate the relationship between the weighted Lipschitz functions and the hyperbolic-harmonic Bloch spaces.
Shaolin Chen +2 more
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Journal of the Mathematical Society of Japan, 2005 The author investigates \(a\)-Bloch, Hardy, Bergman, BMO\(_p\) and Dirchlet spaces of harmonic functions on the unit ball \(B\) in \(\mathbb R^n\) (\(n\geq 2\)). For \(g:[0,1]\to\mathbb R\) a measurable function, the Hardy-Littlewood operator \(L_g\) is defined on the space of measurable functions on \(B\) by \[ L_g(f)(x) = \int_0^1 f(tx)g(t)\,dt ...
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AIMS Mathematics, 2020 Utilizing the concepts of Harmonic analysis and Mittag-Leffler functions we introduce a new subclass of harmonic mappings involving differential operator in domain of Janowski functions.
Muhammad Ghaffar Khan +2 more
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Harmonic functions on hypergroups
Journal of Functional Analysis, 2011 AbstractWe initiate a study of harmonic functions on hypergroups. In particular, we introduce the concept of a nilpotent hypergroup and show such hypergroup admits an invariant measure as well as a Liouville theorem for bounded harmonic functions. Further, positive harmonic functions on nilpotent hypergroups are shown to be integrals of exponential ...
Cho-Ho Chu, Massoud Amini
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Boundary singularities of N -harmonic functions [PDF]
, 2006 We construct N-harmonic functions in a domain with one isolated singularity on the boundary of the domain. By using solutions of the spherical p-harmonic spectral problem, we give an inductive method to produce a large variety of separable p-harmonic ...
Borghol, Rouba, Veron, Laurent
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ON REGULARITY THEOREMS FOR LINEARLY INVARIANT FAMILIES OF HARMONIC FUNCTIONS
Проблемы анализа, 2015 The classical theorem of growth regularity in the class S of analytic and univalent in the unit disc ∆ functions ƒ describes the growth character of different functionals of ƒ Є S and z Є ∆ as z tends to δ∆.
E. G. Ganenkova, V. V. Starkov
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A characterization of harmonic functions
Indagationes Mathematicae (Proceedings), 1988 AbstractGauss' mean value characterization of harmonic functions involves circles (or spheres) centered at every point of the domain of the function. The present paper gives a criterion of this type which involves only one point of the domain; to make up for this, circles or spheres are replaced by a larger family of convex curves or surfaces which ...
Josip Globevnik, Walter Rudin
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International Journal of Applied Mechanics and Engineering, 2017 A wide range of applications is based nowadays on analytical developments which allow a precise and effective approach and short time of computations compared with the time required for numerical methods; in this way these developments are suitable for ...
E.T. Olodo +2 more
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