Schauder and Calderón–Zygmund type estimates for fully nonlinear parabolic equations under “small ellipticity aperture” and applications

JV da Silva, MS Santos - Nonlinear Analysis, 2024 - Elsevier
In this manuscript, we derive some Schauder estimates for viscosity solutions to non-convex
fully nonlinear second-order parabolic equations of the form:∂ tu− F (x, t, D 2 u)= f (x, t) in Q …

Principal spectral curves for Lane–Emden fully nonlinear type systems and applications

E Moreira dos Santos, G Nornberg, D Schiera… - Calculus of Variations …, 2023 - Springer
In this paper we exploit the phenomenon of two principal half eigenvalues in the context of
fully nonlinear Lane–Emden type systems with possibly unbounded coefficients and …

Schauder and Calder\'on-Zygmund type estimates for fully nonlinear parabolic equations under" small ellipticity aperture" and applications

JV da Silva, MS Santos - arXiv preprint arXiv:2311.02524, 2023 - arxiv.org
In this manuscript, we derive Schauder estimates for viscosity solutions to non-convex fully
nonlinear second-order parabolic equations\[\partial_t uF (x, t, D^ 2u)= f (x, t)\quad\text …