Best constant in Sobolev trace inequalities on the half-space
نویسندگان
چکیده
منابع مشابه
Sobolev Trace Inequalities
The existence of extremal functions for the Sobolev trace inequalities is studied using the concentration compactness theorem. The conjectured extremal, the function of conformal factor, is considered and is proved to be an actual extremal function with extra symmetry condition on functions. One of the limiting cases of the Sobolev trace inequalities is investigated and the best constant for th...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2006
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.05.069