Authors
Citation
Tm. Rassias et K. Shibata, Variational problem of some quadratic functionals in complex analysis, J MATH ANAL, 228(1), 1998, pp. 234-253
Citations number
15
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X
→ ACNP
Volume
228
Issue
1
Year of publication
1998
Pages
234 - 253
Database
ISI
SICI code
0022-247X(199812)228:1<234:VPOSQF>2.0.ZU;2-E
Abstract
Suppose we are given a pair of marked closed Riemann surfaces S, T with the
same genus. We minimize the modified Dirichlet integral for mappings of S
onto T, which is endowed with some weight in terms of conformal metric on t
he target surface T. In this paper, it is demonstrated that the minimal har
monic map exists, and it proves to be Teichmuller. (C) 1998 Academic Press.