Sharp integral inequalities for harmonic functions
نویسندگان
چکیده
منابع مشابه
Sharp integral inequalities for harmonic functions
Motivated by Carleman’s proof of isoperimetric inequality in the plane, we study some sharp integral inequalities for harmonic functions on the upper halfspace. We also derive the regularity for nonnegative solutions of the associated integral system and some Liouville type theorems.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2007
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20193