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On the existence of an extremal function in critical Sobolev trace embedding theorem |
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| Authors: | A.I. Nazarov A.B. Reznikov |
| Affiliation: | Saint-Petersburg State University, Universitetskii pr. 28, St. Petersburg, Russian Federation |
| Abstract: | Sufficient conditions for the existence of extremal functions in the trace Sobolev inequality and the trace Sobolev-Poincaré inequality are established. It is shown that some of these conditions are sharp. |
| Keywords: | Critical trace Sobolev inequality Critical trace Sobolev-Poincaré inequality Sharp constants |
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