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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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Bibliografische gegevens
Hoofdauteurs: Brock Friedemann, Chiacchio Francesco, Croce Gisella, Mercaldo Anna
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: De Gruyter 2025-10-01
Reeks:Advances in Nonlinear Analysis
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Online toegang:https://doi.org/10.1515/anona-2025-0103
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