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Embedding theorems and a variational problem for functions on a metric measure space |
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| Authors: | N N Romanovski? |
| Institution: | 1. Sobolev Institute of Mathematics, Novosibirsk, Russia |
| Abstract: | We use a new method to prove the Sobolev embedding theorem for functions on a metric space and study other questions of the theory of Sobolev spaces on a metric space. We prove the existence and uniqueness of solution to a variational problem. |
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