Lower bounds for the volume of the image of a ball
We consider ring $Q$-homeomorphisms with respect to $p$-modulus in the space $\Bbb R^{n}$ as $p>n$. We obtain a lower bound for thevolume of the image of a ball under such mappings. We solve the extremal problems on minimizing of the functionals of the volume ofthe image of a ball and the...
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| Datum: | 2023 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/775 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We consider ring $Q$-homeomorphisms with respect to $p$-modulus in the space $\Bbb R^{n}$ as $p>n$. We obtain a lower bound for thevolume of the image of a ball under such mappings. We solve the extremal problems on minimizing of the functionals of the volume ofthe image of a ball and the area of the image of a sphere. |
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