| Autor: |
Brock, Friedemann, Chiacchio, Francesco, Croce, Gisella, Mercaldo, Anna |
| Rok vydání: |
2023 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are powers of |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 the first non-zero eigenvalue of a weighted Neumann problem. |
| Databáze: |
arXiv |
| Externí odkaz: |
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