ASYMPTOTIC BEHAVIOR OF A-HARMONIC FUNCTIONS AND p-EXTREMAL LENGTH

作者：Kim Seok Woo^*; Lee Sang Moon; Lee Yong Hah

来源：Bulletin of the Korean Mathematical Society, 2010, 47(2): 423-432.

DOI：10.4134/BKMS.2010.47.2.423

• A-harmonic function
• p-harmonic boundary
• comparison principle
• maximum principle
• p-extremal length
• p-almost every curve

We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded A-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.

• 出版日期2010-3