[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2010.47.2.423

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

Kim, Seok-Woo (DEPARTMENT OF MATHEMATICS EDUCATION KONKUK UNIVERSITY)
Lee, Sang-Moon (DEPARTMENT OF MATHEMATICS KONKUK UNIVERSITY)
Lee, Yong-Hah (DEPARTMENT OF MATHEMATICS EDUCATION EWHA WOMANS UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.47, no.2, 2010 , pp. 423-432 More about this Journal

Abstract

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

Keywords

$\cal{A}$ -harmonic function; p-harmonic boundary; comparison principle; maximum principle; p-extremal length; p-almost every curve;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
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