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On the best constant in a Wente-type inequality for the fractional Laplace operator
Journal article   Peer reviewed

On the best constant in a Wente-type inequality for the fractional Laplace operator

Mohamed Jleli and Bessem Samet
Mathematical methods in the applied sciences, Vol.39(5), pp.1144-1149
01/04/2016
DOI: https://doi.org/10.1002/mma.3558

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the solution to Wente's problem with the fractional Laplace operator (-Delta)(alpha/2), where 0 <alpha< 2. We derive a Wente-type inequality for this problem. Next, we compute the optimal constant in such inequality. Copyright (c) 2015John Wiley & Sons, Ltd.

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