Harmonic maps with finite total energy
Publication in refereed journal


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替代計量分析
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其它資訊
摘要We will give a criteria for a nonnegative subharmonic function with finite energy on a complete manifold to be bounded. Using this we will prove that if on a complete noncompact Riemannian manifold M, every harmonic function with finite energy is bounded, then every harmonic map with finite total energy from M into a Cartan-Hadamard manifold must also have bounded image. No assumption on the curvature of M is required. As a consequence, we will generalize some of the uniqueness results on homotopic harmonic maps by Schoen and Yau.
著者Cheng SY, Tam LF, Wan TYH
期刊名稱Proceedings of the American Mathematical Society
出版年份1996
月份1
日期1
卷號124
期次1
出版社AMER MATHEMATICAL SOC
頁次275 - 284
國際標準期刊號0002-9939
電子國際標準期刊號1088-6826
語言英式英語
Web of Science 學科類別Mathematics; MATHEMATICS; Mathematics, Applied; MATHEMATICS, APPLIED

上次更新時間 2020-29-11 於 00:32