A sharp minimum principle for the problem of torsional rigidity

Authors
Ma, XN
Citation
Xn. Ma, A sharp minimum principle for the problem of torsional rigidity, J MATH ANAL, 233(1), 1999, pp. 257-265
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
233
Issue
1
Year of publication
1999
Pages
257 - 265
Database
ISI
SICI code
0022-247X(19990501)233:1<257:ASMPFT>2.0.ZU;2-Y
Abstract
For the equation of torsional rigidity, using the unique continuation of an alytic function, we get a sharp minimum principle for a combination of the solution and its gradient. As an application, a lower bound for the minimum stress on the boundary is obtained. (C) 1999 Academic Press.