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Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant.
- Source :
- SIAM Journal on Control & Optimization; 2006, Vol. 44 Issue 5, p1614, 22p
- Publication Year :
- 2006
-
Abstract
- In this paper we study the regularity properties of a free boundary problem arising in the optimization of the best Sobolev trace constant in the immersion $H^1(\Omega)\hookrightarrow L^q(\partial\Omega)$ for functions that vanish in a subset of $\Omega$. This problem is also related to a minimization problem for Steklov eigenvalues. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 44
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 19368562
- Full Text :
- https://doi.org/10.1137/040613615