Work

Degenerate free boundary problems with oscillatory singularities

Year: 2025

Type: article

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.

Source: Partial Differential Equations and Applications

DOI: 10.1007/s42985-025-00320-7

Authors: Aelson Sobral, Eduardo V. Teixeira, José Miguel Urbano

Institutions: King Abdullah University of Science and Technology, University of Central Florida, Centro de Matemática, University of Coimbra

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Fundação para a Ciência e a Tecnologia