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Sharp Estimates for Green’s Functions of Cone-Type Planar Domains


Affiliations
1 Preparatory Institute For Engineering Studies of Nabeul, University of Carthage, Campus Universitaire Merezka, 8000 Nabeul, Tunisia
2 Department of Mathematics, University of Tunis el Manar, Campus Universitaire, 2092 Tunis, Tunisia
 

We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes all estimates given by Zhao in 1988 and Selmi in 2000. Our principal idea is to use conformal mappings.
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  • Sharp Estimates for Green’s Functions of Cone-Type Planar Domains

Abstract Views: 139  |  PDF Views: 2

Authors

Mohamed Amine Ben Boubaker
Preparatory Institute For Engineering Studies of Nabeul, University of Carthage, Campus Universitaire Merezka, 8000 Nabeul, Tunisia
Mohamed Selmi
Department of Mathematics, University of Tunis el Manar, Campus Universitaire, 2092 Tunis, Tunisia

Abstract


We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes all estimates given by Zhao in 1988 and Selmi in 2000. Our principal idea is to use conformal mappings.