On solutions to overdetermined problems for Finsler p-Laplacian
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Benyam Mebrate
Abstract
We consider two Finsler p-Laplacian overdetermined problems in a bounded domain with smooth boundary, and show the existence and non-existence of solution based on comparison with radial solutions. By imposing some conditions we show that the solution of the overdetermined problem exists only when the domain is a Finsler ball.
Acknowledgements
I would like to express my gratitude to Professor Antonio Greco (Cagliari University, Italy) for his constructive comments for the betterment of the manuscript.
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