Degenerate free boundary problems with oscillatory singularities

Aelson Sobral (), Eduardo V. Teixeira () and José Miguel Urbano ()
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Aelson Sobral: King Abdullah University of Science and Technology (KAUST)
Eduardo V. Teixeira: University of Central Florida
José Miguel Urbano: King Abdullah University of Science and Technology (KAUST)

Partial Differential Equations and Applications, 2025, vol. 6, issue 2, 1-16

Abstract: Abstract We extend the findings of Araújo et al.(On free boundary problems shaped by oscillatory singularities, arXiv:2401.08071 ) concerning free boundary problems involving varying singularities to the degenerate scenario, establishing fine geometric properties for minimizers under minimal assumptions on the oscillatory exponent.

Keywords: Free boundary problems; Varying singularities; Regularity estimates; Primary 35R35; Secondary 35A21; 35J70 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s42985-025-00320-7

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