Sharp integral inequalities for harmonic functions |
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| Authors: | Fengbo Hang Xiaodong Wang Xiaodong Yan |
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| Institution: | 1. Princeton University, Department of Mathematics, Fine Hall, Washington Road, Princeton, NJ 08544;2. Michigan State University, Department of Mathematics, East Lansing, MI 48824 |
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| Abstract: | Motivated by Carleman's proof of isoperimetric inequality in the plane, we study some sharp integral inequalities for harmonic functions on the upper half‐space. We also derive the regularity for nonnegative solutions of the associated integral system and some Liouville‐type theorems. © 2007 Wiley Periodicals, Inc. |
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