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arXiv · 2504.09557

Improved regularity for a nonlocal dead-core problem

Disson dos Prazeres·Rafayel Teymurazyan·José Miguel Urbano
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Abstract

We obtain improved regularity results for solutions to a nonlocal dead-core problem at branching points. Our approach, which does not rely on the maximum principle, introduces a new strategy for analyzing two-phase problems within the local framework, an area that remains largely unexplored.

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Disson dos Prazeres, Rafayel Teymurazyan, José Miguel Urbano. 2025-04-13. Improved regularity for a nonlocal dead-core problem. https://arxiv.org/abs/2504.09557

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