The paper establishes improved regularity, non-degeneracy, free-boundary measure estimates, and Liouville-type results for fully nonlinear dead-core systems and sharp estimates for degenerate Hénon-type equations.
V., S´ a, G.: Geometric regularity estimates for quasi-linear elliptic models in non-divergence form with strong absorption.arXiv:2503.21899(2025)
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Improved regularity estimates for degenerate or singular fully nonlinear dead-core systems and H\'{e}non-type equations
The paper establishes improved regularity, non-degeneracy, free-boundary measure estimates, and Liouville-type results for fully nonlinear dead-core systems and sharp estimates for degenerate Hénon-type equations.