Degenerate free boundary problems with oscillatory singularities

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.

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Publication Details

Journal
Partial Differential Equations and Applications
Published
2025-03-19
DOI
https://doi.org/10.1007/s42985-025-00320-7
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Degenerate free boundary problems with oscillatory singularities

Eduardo V. Teixeira, José Miguel Urbano, Aelson Sobral
Partial Differential Equations and Applications
Nonlinear Partial Differential Equations
article

Degenerate free boundary problems with oscillatory singularities

Eduardo V. Teixeira, José Miguel Urbano, Aelson Sobral
article en

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.

Partial Differential Equations and ApplicationsVol. 6(2)
University of Central Florida (US), King Abdullah University of Science and Technology (SA), University of Coimbra (PT)
Fundação para a Ciência e a Tecnologia
Openalex Percentile: Top 92%
Nonlinear Partial Differential Equations
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