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- W4287164513 abstract "We consider positive critical points of Caffarelli-Kohn-Nirenberg inequalities and prove a Liouville type result which allows us to give a complete classification of the solutions in a certain range of parameters, providing a symmetry result for positive solutions. The governing operator is a weighted $p$-Laplace operator, which we consider for a general $p in (1,d)$. For $p=2$, the symmetry breaking region for extremals of Caffarelli-Kohn-Nirenberg inequalities was completely characterized in [J. Dolbeault, M. Esteban, M. Loss, Invent. Math. 44 (2016)]. Our results extend this result to a general $p$ and are optimal in some cases." @default.
- W4287164513 created "2022-07-25" @default.
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- W4287164513 date "2021-05-28" @default.
- W4287164513 modified "2023-10-18" @default.
- W4287164513 title "Symmetry for positive critical points of Caffarelli-Kohn-Nirenberg inequalities" @default.
- W4287164513 doi "https://doi.org/10.48550/arxiv.2105.13691" @default.
- W4287164513 hasPublicationYear "2021" @default.
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