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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… (More)

- Fengbo Hang, Fanghua Lin
- 2003

This paper addresses some topological and analytical issues concern- ing Sobolev mappings between compact Riemannian manifolds. Among the results we obtained are unified proofs of various… (More)

- Fengbo Hang, Fanghua Lin
- 2000

- Fengbo Hang, Fanghua Lin
- 2004

This paper addresses some topological and analytical issues concerning Sobolev mappings between compact Riemannian manifolds. Among the results we obtained are unified proofs of various… (More)

Moreover we know exactly when the equality holds: if and only if D is a disc. For any optimal geometric inequality it is important to have a complete understanding of the equality case. Sometimes… (More)

We prove some boundary rigidity results for the hemisphere under a lower bound for Ricci curvature. The main result can be viewed as the Ricci version of a conjecture of Min-Oo.

- Fengbo Hang, Paul Yang
- 2004

The Paneitz operator introduced in [P] has attracted some attention in conformal geometry recently. In particular its associated Q-curvature equation has demonstrated its importance in four… (More)

- Fengbo Hang, Fanghua Lin
- 2001

Abstract Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for the planar ferromagnets and antiferromagnets. To develop such a static theory is a necessary step for… (More)

It is a simple consequence of the maximum principle that a superharmonic function u on Rn(i. e. ∆u ≤ 0) which is 1 near infinity is identically 1 on Rn (throughout this paper, n ≥ 3). Geometrically… (More)

We study the existence of a metric with zero scalar curvature maximizing the isoperimetric ratio among all zero scalar curvature metrics in a fixed conformal class of metrics on a compact manifold… (More)