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The Wente problem associated to the modified Helmholtz operator
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The Wente problem associated to the modified Helmholtz operator

Mohamed Jleli and Bessem Samet
Journal of mathematical analysis and applications, Vol.339(1), pp.332-343
01/03/2008

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the solution to Wente's problem with the modified Helmholtz operator -Delta + alpha I, where alpha is a positive constant. We study the best constant in the so-called Wente's inequality. At first, we consider the best constant associated to the L-infinity norm. Next, We study the case of the L-2 norm. (c) 2007 Elsevier Inc. All rights reserved.

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