Mathematics – Analysis of PDEs
Scientific paper
2006-11-11
Mathematics
Analysis of PDEs
35 pages
Scientific paper
Motivared by Carleman's proof of the 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.
Hang Fengbo
Wang Xiaodong
Yan Xiaodong
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