TY - JOUR
T1 - The zeta functional determinants on manifolds with boundary
AU - Chang, Sun Yung A.
AU - Qing, Jie
N1 - Funding Information:
* Research is supported in part by NSF Grant DMS-9401465. E-mail: chang math.ucla. edu. -Research is supported in part by NSF Grant DMS-9407646. E-mail: qing math. columbia.edu.
PY - 1997/7
Y1 - 1997/7
N2 - 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 showW2,2-compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace inequalities.
AB - 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 showW2,2-compactness of isospectral set within a subclass of conformal metrics, and discuss extremal properties of the zeta functional determinants, for certain elliptic boundary value problems on 4-manifolds with smooth boundary. To do so we establish some sharp Sobolev trace inequalities.
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U2 - 10.1006/jfan.1996.3060
DO - 10.1006/jfan.1996.3060
M3 - Article
AN - SCOPUS:0031190766
SN - 0022-1236
VL - 147
SP - 363
EP - 399
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -