Improved regularity for a nonlocal dead-core problem

2025/04/13 by Prazeres, Disson dos, Teymurazyan, Rafayel, Urbano, José Miguel · 1 citation
#35B53 #35B65 #35J60 #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.09557

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.

Citations

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Cited by

• A two-phase quenching-type problem for the p-Laplacian

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