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• W3049358450 abstract "We study a free transmission problem driven by degenerate fully nonlinear operators. Our first result concerns the existence of solutions to the associated Dirichlet problem. By framing the equation in the context of viscosity inequalities, we produce optimal regularity results for viscosity solutions and certain strong solutions to the problem. Our findings include regularity in $ C^{1,alpha}$ spaces, and an explicit characterization of $alpha$ in terms of the degeneracy rates. We argue by perturbation methods, relating our problem to a homogeneous, fully nonlinear uniformly elliptic equation." @default.
• W3049358450 created "2020-08-21" @default.
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• W3049358450 date "2020-08-16" @default.
• W3049358450 modified "2023-10-18" @default.
• W3049358450 title "A fully nonlinear degenerate free transmission problem" @default.
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• W3049358450 hasPublicationYear "2020" @default.
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