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- W4287023541 abstract "We establish the existence and sharp global regularity results ($C^{0, gamma}$, $C^{0, 1}$ and $C^{1, alpha}$ estimates) for a class of fully nonlinear elliptic PDEs with unbalanced variable degeneracy. In a precise way, the degeneracy law of the model switches between two different kinds of degenerate elliptic operators of variable order, according to the null set of a modulating function. Such sharp regularity estimates generalize and improve, to some extent, earlier ones via geometric treatments. Our results are consequences of geometric tangential methods and make use of compactness, localized oscillating and scaling techniques. In the end, our findings are applied in the study of a wide class of nonlinear models and free boundary problems." @default.
- W4287023541 created "2022-07-25" @default.
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- W4287023541 date "2021-08-18" @default.
- W4287023541 modified "2023-09-27" @default.
- W4287023541 title "Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy" @default.
- W4287023541 doi "https://doi.org/10.48550/arxiv.2108.08343" @default.
- W4287023541 hasPublicationYear "2021" @default.
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