The Wente problem associated to the modified Helmholtz operator |
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| Authors: | Mohamed Jleli |
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| Institution: | Ecole Supérieure des Sciences et Techniques de Tunis, Département de Mathématiques, 5, Avenue Taha Hussein, Tunis, B.P. 56, Bab Menara 1008, Tunisia |
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| Abstract: | In this paper, we consider the solution to Wente's problem with the modified Helmholtz operator −Δ+αI, where α 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∞ norm. Next, We study the case of the L2 norm. |
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| Keywords: | Wente's inequality Best constant Modified Helmholtz operator |
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