A bridge between Sobolev and Escobar inequalities and beyond (Q2363161)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bridge between Sobolev and Escobar inequalities and beyond |
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A bridge between Sobolev and Escobar inequalities and beyond (English)
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13 July 2017
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The paper studies a strong link between the Sobolev inequality on the whole Euclidean space and the Escobar inequality on the half-space. It is shown that both inequalities arise as special cases of a family of variational problems. The minimizers of the corresponding functionals are geometrically characterized. An essential tool in the approach is a mass transportation argument.
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Sobolev inequality
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Escobar inequality
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mass transportation
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Yamabe problem
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