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math.AP2025
A two-phase quenching-type problem for the p-Laplacian
Julio C. Correa, Disson dos Prazeres
We study minimizers of non-differentiable functionals of the Alp-Phillips type with two-phases for the -Laplacian , focusing on the geometric and analytical properties of free b…
math.AP2025
Improved regularity for a nonlocal dead-core problem
Disson dos Prazeres, Rafayel Teymurazyan, José Miguel Urbano
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 ne…