Radial limits of superharmonic functions in the plane
D. Armitage (1994)
Colloquium Mathematicae
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D. Armitage (1994)
Colloquium Mathematicae
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Porwal, Saurabh, Dixit, Poonam, Kumar, Vinod (2011)
The Journal of Nonlinear Sciences and its Applications
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Tilak Bhattacharya (2005)
Revista Matemática Complutense
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In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|.
Waggas Galib Atshan, S. R. Kulkarni, R. K. Raina (2008)
Matematički Vesnik
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Vijaya, K. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Gawarecki, L., Mandrekar, V., Richard, P. (2001)
Georgian Mathematical Journal
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Bhattacharya, Tilak (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chen, Sh., Ponnusamy, S., Wang, X. (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Polatoğlu, Yaşar (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45, 30C55 One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.