Results 21 to 30 of about 1,531 (218)
Overdetermined problems in annular domains with a spherical-boundary component in space forms
Journal of Inequalities and Applications, 2023 We obtain a Serrin-type symmetry of the solutions to various overdetermined boundary value problems in annular domains with a spherical-boundary component in space forms by using the maximum principle for suitable subharmonic functions and integral ...
Jihye Lee, Keomkyo Seo
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On the mean value property of superharmonic and subharmonic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 International audienceWe prove a converse of the mean value property for superharmonic and subharmonic functions.
Robert Dalmasso
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On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions [PDF]
Mathematica Bohemica, 2020 This note verifies a conjecture of Král, that a continuously differentiable function, which is subharmonic outside its critical set, is subharmonic everywhere.
Stephen J. Gardiner, Tomas Sjödin
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Approximately Subharmonic Functions [PDF]
Proceedings of the American Mathematical Society, 1952 for 0
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Axioms, 2021 This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski +2 more
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Lp-potentials on infinite networks
Demonstratio Mathematica, 2017 Based on the existence of discrete Lp− subharmonic functions, a classification of infinite networks is carried out.
Abodayeh Kamaleldin, Anandam Victor
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Families of subharmonic functions and separately subharmonic functions
Complex Variables and Elliptic Equations, 2019 There was an error.
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Bi-Lipschitz mappings and quasinearly subharmonic functions [PDF]
, 2020 After considering a variant of the generalized mean value inequality of quasinearly subharmonic functions, we consider certain invariance properties of quasinearly subharmonic functions.
Oleksiy Dovgoshey, Juhani Riihentaus
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On McConnell’s inequality for functionals of subharmonic functions [PDF]
Pacific Journal of Mathematics, 1987 \textit{T. R. McConnell} [Indiana Univ. Math. J. 33, 289-303 (1984; Zbl 0508.31005)] showed that if u(x,t) is a non-negative subharmonic function defined on \({\mathbb{R}}_+^{n+1}=\{(x,t):\quad x\in {\mathbb{R}}^ n,\quad t>0\},\) and if \[ N(x)=\sup \{u(y,t):\quad (y,t)\in \Gamma_ 1(x)\}\quad and\quad S(x)=\iint_{(y,t)\in \Gamma_ 1(x)}t^{1-n}\Delta u(x,
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Exceptional Sets for Subharmonic Functions
, 2015 Blanchet has shown that hypersurfaces of class C1 are removable singularities for subharmonic functions, provided the considered subharmonic functions satisfy certain assumptions.
Juhani Riihentaus
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