Results 91 to 100 of about 1,531 (218)

Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators

Bruno Pini Mathematical Analysis Seminar, 2019
Maximum Principles on unbounded domains play a crucial role in several problems related to linear second-order PDEs of elliptic and parabolic type. In the present notes, based on a joint work with prof. E.
Stefano Biagi
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Subharmonic functions of genus zero in IR2

, 1980
Premalatha , Anandam Victor. Subharmonic functions of genus zero in IR2. In: Bulletin de la Classe des sciences, tome 66, 1980. pp.
Premalatha, Victor Anandam, Anandam, Victor   +2 more
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Orthogonal Decomposition in Omega-Weighted Classes of Functions Subharmonic in the Half-Plane [PDF]

, 2018
The paper gives a harmonic, ω-weighted, half-plane analog of W. Wirtinger's projection theorem and its (1 - r)α-weighted extension by M. Djrbashian and also an orthogonal decomposition for some classes of functions subharmonic in the half-plane.El ...
Jerbashian, Armen, Vargas, Daniel
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On the non-admissible subharmonic functions

, 1978
Anandam Victor. On the non-admissible subharmonic functions. In: Bulletin de la Classe des sciences, tome 64, 1978. pp.
Victor Anandam, Anandam, Victor
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Inequalities for surface integrals of non-negative subharmonic functions [PDF]

, 1998
summary:Let ${\Cal H}$ denote the class of positive harmonic functions on a bounded domain $\Omega$ in $\Bbb R^N$. Let $S$ be a sphere contained in $\overline{\Omega}$, and let $\sigma$ denote the $(N-1)$-dimensional measure.
Aldred, M. P., Armitage, D. H.
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Separately Subharmonic and Harmonic Functions are Subharmonic

, 2009
The paper has been withdrawn, because of an ...
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Bloch and Gap Subharmonic Functions

Real Analysis Exchange, 2003
Let \({\mathbb B}_\alpha\) be the class of all positive subharmonic functions \(u\) in the open unit ball \(B_N\) of the space \({\mathbb R}^N\) such that \(G_\alpha (u) = \sup_{x\in B_N} (1-\| x\| ^2)^\alpha u(x) < +\infty.\) The analogous class \({\mathbb A}_\alpha\) of holomorphic in the disc functions \(f\) is defined by the condition \(\sup_{| z ...
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ON PLURIHARMONICITY CRITERIA OF HARMONIC AND \(\mathcal M\)-HARMONIC FUNCTIONS IN THE ARBITRARY BALL OF \({\mathbb C}^{n}\)

Ural Mathematical Journal
This paper introduces the concept of \({\mathcal M}\)-harmonic function in an arbitrary ball  of  \({\mathbb C}^{n}\) and proves some criteria for pluriharmonicity of harmonic functions in this ball.
Mokhira D. Vaisova
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On functions subharmonic in a Lipschitz domain [PDF]

Proceedings of the American Mathematical Society, 1978
Let D be a starlike Lipschitz domain in R n
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QUASI-NEARLY SUBHARMONIC FUNCTIONS AND CONFORMAL MAPPINGS

, 2014
If ϕ is a conformal mapping and u is a quasi-nearly subharmonic function, then u ◦ ϕ is quasi-nearly subharmonic.
Vesna Kojić
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