Some Distortion Theorems for Starlike Harmonic Functions
Yavuz Duman, Emel (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C55, 30C45 Distortion and growth theorems are obtained.
Yavuz Duman, Emel (2010)
Fractional Calculus and Applied Analysis
Similarity:
MSC 2010: 30C55, 30C45 Distortion and growth theorems are obtained.
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|.
Nadjafikhah, Mehdi, Hejazi, Seyed-Reza (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Nazarov, S. A. (2000)
Sibirskij Matematicheskij Zhurnal
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Malyutin, K. G., Sadik, Nazim (2002)
Sibirskij Matematicheskij Zhurnal
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Kulwinder Kaur (2005)
Archivum Mathematicum
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Integrability and convergence of modified cosine sums introduced by Rees and Stanojević under a class of generalized semi-convex null coefficients are studied by using Cesàro means of non-integral orders.
Topuria, S. (1998)
Georgian Mathematical Journal
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Paweł Strzelecki (1996)
Colloquium Mathematicae
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We prove that minimizers of the functional , ⊂ , n ≥ 3, which satisfy the Dirichlet boundary condition on for g: → with zero topological degree, converge in and for any α<1 - upon passing to a subsequence - to some minimizing n-harmonic map. This is a generalization of an earlier result obtained for n=2 by Bethuel, Brezis, and Hélein. An example of nonunique asymptotic behaviour (which cannot occur in two dimensions if deg g = 0) is presented.