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• W3180353192 abstract "We consider the minimization problem corresponding to a Sobolev inequality for vector fields and show that minimizing sequences are relatively compact up to the symmetries of the problem. In particular, there is a minimizer. An ingredient in our proof is a version of the Rellich--Kondrachov compactness theorem for sequences satisfying a nonlinear constraint." @default.
• W3180353192 created "2021-07-19" @default.
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• W3180353192 date "2021-07-14" @default.
• W3180353192 modified "2023-09-27" @default.
• W3180353192 title "Existence of optimizers in a Sobolev inequality for vector fields" @default.
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