Journal article
The best constant in a trace inequality
Journal of Mathematical Analysis and Applications, Vol.163(2), pp.512-520
01/01/1992
DOI: 10.1016/0022-247x(92)90263-d
Abstract
The best possible constant in the trace inequality II4 Ll(I-!) d co llwlL+o)~ Vu E H ;,(sZ) is shown to be given by a quantity in terms of the solution of an elliptic boundary value problem, where, r,, r, are disjoint subsets of dQ with positive measures, and the Sobolev space Some examples are presented with either an analytic expression or a numerical value for the best constant. As an application, the best constant co is used to give an upper bound for the first eigenvalue of a modified Steklov eigenvalue problem
Details
- Title: Subtitle
- The best constant in a trace inequality
- Creators
- Weimin Han
- Resource Type
- Journal article
- Publication Details
- Journal of Mathematical Analysis and Applications, Vol.163(2), pp.512-520
- DOI
- 10.1016/0022-247x(92)90263-d
- ISSN
- 0022-247X
- Publisher
- Elsevier BV
- Language
- English
- Date published
- 01/01/1992
- Academic Unit
- Mathematics
- Record Identifier
- 9983985800502771
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