Lipschitz Regularity of Almost Minimizers in One-Phase Problems Driven by the p-Laplace Operator

Serena Dipierro; Fausto Ferrari; Nicolò Forcillo; Enrico Valdinoci

doi:10.1512/iumj.2024.73.9926

Lipschitz Regularity of Almost Minimizers in One-Phase Problems Driven by the p-Laplace Operator

Serena Dipierro, Fausto Ferrari, Nicolò Forcillo, Enrico Valdinoci

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We prove that, given p > max{2n/(n+2), 1}, the nonnegative almost minimizers of the nonlinear free boundary functional (Formula Presented) are Lipschitz continuous.

Original language	English
Pages (from-to)	813-854
Number of pages	42
Journal	Indiana University Mathematics Journal
Volume	73
Issue number	3
DOIs	https://doi.org/10.1512/iumj.2024.73.9926
Publication status	Published - 2024

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10.1512/iumj.2024.73.9926Licence: Unspecified

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title = "Lipschitz Regularity of Almost Minimizers in One-Phase Problems Driven by the p-Laplace Operator",

abstract = "We prove that, given p > max{2n/(n+2), 1}, the nonnegative almost minimizers of the nonlinear free boundary functional (Formula Presented) are Lipschitz continuous.",

author = "Serena Dipierro and Fausto Ferrari and Nicol{\`o} Forcillo and Enrico Valdinoci",

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AU - Valdinoci, Enrico

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Lipschitz Regularity of Almost Minimizers in One-Phase Problems Driven by the p-Laplace Operator

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Partial Differential Equations, free boundaries and applications

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Lipschitz Regularity of Almost Minimizers in One-Phase Problems Driven by the p-Laplace Operator

Abstract

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Partial Differential Equations, free boundaries and applications

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