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math.AP2025
Differentiability of solutions for a degenerate fully nonlinear free transmission problem
Edgard A. Pimentel, David Stolnicki
We study a fully nonlinear free transmission problem in the presence of general degeneracy laws. Under minimal conditions on the degeneracy of the model, we establish the different…
math.AP2024
Fully nonlinear free boundary problems: optimal boundary regularity beyond convexity
Damião J. Araújo, Andreas Minne, Edgard A. Pimentel
We study a general class of elliptic free boundary problems equipped with a Dirichlet boundary condition. Our primary result establishes an optimal -regularity estimate fo…
math.AP2024
Boundary regularity for a fully nonlinear free transmission problem
David Jesus, Edgard A. Pimentel, David Stolnicki
We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting pr…