Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant
نویسندگان
چکیده
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(Ω) ↪→ L(∂Ω) for functions that vanish in a subset of Ω. This problem is also related to a minimization problem for Steklov eigenvalues.
منابع مشابه
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 44 شماره
صفحات -
تاریخ انتشار 2005