General approach to regions of variability via subordination of harmonic mappings.
Chen, Sh., Ponnusamy, S., Wang, X. (2009)
International Journal of Mathematics and Mathematical Sciences
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Chen, Sh., Ponnusamy, S., Wang, X. (2009)
International Journal of Mathematics and Mathematical Sciences
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Abdulhadi, Z., Muhanna, Y.Abu (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Girela, Daniel (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Abdulhadi, Z., Muhanna, Y.Abu (2011)
Abstract and Applied Analysis
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Ahuja, Om P. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Allami Benyaiche, Salma Ghiate (2006)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we study the Martin boundary associated with a harmonic structure given by a coupled partial differential equations system. We give an integral representation for non negative harmonic functions of this structure. In particular, we obtain such results for biharmonic functions (i.e. ) and for non negative solutions of the equation .
Nunokawa, Mamoru, Owa, Shigeyoshi, Nakamura, Yayoi, Hayami, Toshio (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Abdallah Lyzzaik (2004)
Publications de l'Institut Mathématique
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