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Shape of extremal functions for weighted Sobolev-type inequalities
We study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry. We also prove an isoperimetric inequality for...
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| Hlavní autoři: | , , , |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
De Gruyter
2025-10-01
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| Edice: | Advances in Nonlinear Analysis |
| Témata: | |
| On-line přístup: | https://doi.org/10.1515/anona-2025-0103 |
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