On the best constant in a Wente‐type inequality for the fractional Laplace operator |
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| Authors: | Mohamed Jleli Bessem Samet |
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| Affiliation: | Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia |
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| Abstract: | In this paper, we consider the solution to Wente's problem with the fractional Laplace operator (?Δ)α/2, where 0 < α < 2. We derive a Wente‐type inequality for this problem. Next, we compute the optimal constant in such inequality. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | Wente‐type inequality best constant fractional Laplacian |
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