논문KCI 등재
Asymptotic behavior of harmonic maps and exponentially harmonic functions
2
조회
0
다운로드
1
인용
0
참고문헌
주제분류수학
초록
Abstract
Let M be a Riemannian manifold with asymptoticallynon-negative curvature. We study the asymptotic behavior of theenergy densities of a harmonic map and an exponentially harmonicfunction on M. We prove that the energy density of a boundedharmonic map vanishes at infinity when the target is aCartan-Hadamard manifold. Also we prove that the energy density ofa bounded exponentially harmonic function vanishes at infinity.
관련 논문AI추천
ASYMPTOTIC DIRICHLET PROBLEM FOR HARMONIC MAPS ON NEGATIVELY CURVED MANIFOLDS김석우, 이용하대한수학회 · 대한수학회지2005 · 제42권 제3호Polynomial growth harmonic maps on complete Riemannian manifolds이영하대한수학회 · 대한수학회보2004 · 제41권 제3호A Liouville type theorem for harmonic morphisms문동주, 정승달, Huili Liu대한수학회 · 대한수학회지2007 · 제44권 제4호THEOREMS OF LIOUVILLE TYPE FORQUASI-STRONGLY p-HARMONIC MAPSGabjinYun한국수학교육학회 · 이론수학과 교직수학2002 · 제9권 제2호Local gradient estimate on Riemannian manifold with asymptotically non-negative Ricci curvatureHui Liu, Jingjing Zhang, Lingen Lu, Tian Chong대한수학회 · 대한수학회지2025 · 제62권 제1호ASYMPTOTIC BEHAVIOR OF A-HARMONIC FUNCTIONS AND p-EXTREMAL LENGTH김석우, 이상문, 이용하대한수학회 · 대한수학회보2010 · 제47권 제2호
이 간행물의 다른 논문 (9건)
Martens' dimension theorem for curves of even gonalityTakao Katopp. 665-680On the conjugate Darboux-Protter problems for the two dimensional wave equations in the special case박종열, 최종배pp. 681-692On the Ricci curvature of submanifolds in the warped product $L\times_{f} F$박진석, Young-Mi Kimpp. 693-708Inequalities for the Hilbert transform of functions whosederivatives are convexS. S. Dragomirpp. 709-729On a Time-Consistent Solution of a Cooperative Differential Time-Optimal Pursuit GameSvetlana Tarashnina, O-Hun Kwonpp. 745-764