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Bibliographic Details
Main Authors: Araújo, Damião J., Sá, Ginaldo S., Teixeira, Eduardo V., Urbano, José Miguel
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.03060
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Table of Contents:
  • We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free boundary, provided the power of the singularity varies in a Dini-continuous fashion below a certain threshold. We also reveal an interesting repelling estimate preventing the free boundary from touching the region where the singularity power oscillates above the threshold.