THE ZETA-FUNCTIONAL DETERMINANTS ON MANIFOLDS WITH BOUNDARY .2. EXTREMAL METRICS AND COMPACTNESS OF ISOSPECTRAL SET

Authors
CHANG SYA QING J
Citation
Sya. Chang et J. Qing, THE ZETA-FUNCTIONAL DETERMINANTS ON MANIFOLDS WITH BOUNDARY .2. EXTREMAL METRICS AND COMPACTNESS OF ISOSPECTRAL SET, Journal of functional analysis, 147(2), 1997, pp. 363-399
Citations number
33
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
147
Issue
2
Year of publication
1997
Pages
363 - 399
Database
ISI
SICI code
0022-1236(1997)147:2<363:TZDOMW>2.0.ZU;2-9
Abstract
This is a continuing research of our previous work (S.-Y. A. Chang and J. Qing (1997), J. Funct. Anal. 147, 327-362). In this paper we show W-2,W-2-compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determ inants, for certain elliptic boundary value problems on 4-manifolds wi th smooth boundary. To do so we establish some sharp Sobolev trace ine qualities. (C) 1997 Academic Press.