Boundedness and oscillatoriness of solutions of the equation y" + a(x)g(y, y') + b(x)f(y)h(y') = 0
Pavel Šoltés (1973)
Annales Polonici Mathematici
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Pavel Šoltés (1973)
Annales Polonici Mathematici
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Mary L. Cartwright, H. P. F. Swinnerton-Dyer (1974)
Annales Polonici Mathematici
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Jang-Mei Wu (1998)
Publicacions Matemàtiques
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We study the relation between the growth of a subharmonic function in the half space R and the size of its asymptotic set. In particular, we prove that for any n ≥ 1 and 0 < α ≤ n, there exists a subharmonic function u in the R satisfying the growth condition of order α : u(x) ≤ x for 0 < x < 1, such that the Hausdorff dimension of the asymptotic set ∪A(λ) is exactly n-α. Here A(λ) is the set of boundary points at which...
I. I. Marchenko, A. Szkibiel (2007)
Annales Polonici Mathematici
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The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value b(∞,u) for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that b(∞,u) ≤ π for subharmonic functions of infinite lower order.
Shinji Yamashita (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Pavlović, Miroslav (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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Pavlović, M. (1996)
Matematichki Vesnik
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Jill Pipher (1987)
Revista Matemática Iberoamericana
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The aim of this paper is to extend the results of Calderón [1] and Kenig-Pipher [12] on solutions to the oblique derivative problem to the case where the data is assumed to be BMO or Hölder continuous.
Rein L. Zeinstra (1989)
Compositio Mathematica
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M. Mateljević (1995)
Publications de l'Institut Mathématique
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Miroslav Pavlović (1994)
Publications de l'Institut Mathématique
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Miroslav Pavlović (1994)
Publications de l'Institut Mathématique
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Soulaymane Korry (2001)
Collectanea Mathematica
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