We study a free transmission problem driven by degenerate fully nonlinear operators. Our
first result concerns the existence of a viscosity solution to the associated Dirichlet problem …

In the present manuscript, we determine the critical condition for the nonlinearity in a
semilinear wave equation with a derivative-type nonlinearity. More precisely, we consider a …

C1;-regularity for a class of degenerate/singular fully non-linear elliptic equations Page 1
Interfaces Free Bound. (Online first) DOI 10.4171/IFB/496 © 2024 European Mathematical …

We start the investigation of free boundary variational models featuring oscillatory
singularities. The theory varies widely depending upon the nature of the singular power …

C1 regularity for some degenerate/singular fully nonlinear elliptic equations - ScienceDirect
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We prove sharp regularity estimates for solutions of highly degenerate fully nonlinear elliptic
equations. These are free boundary models in which a nonlinear diffusion process drives …

We study a fully nonlinear free transmission problem in the presence of general degeneracy
terms. Under minimal conditions on the degeneracy of the model, we establish the existence …

We establish interior $ W^{2,\delta} $ type estimates for a class of degenerate fully nonlinear
elliptic equations with $ L^ n $ data. The main idea of our approach is to slide $ C^{1,\alpha} …

In this paper, we study regularity estimates for a class of degenerate, fully nonlinear elliptic
equations with arbitrary nonhomogeneous degeneracy laws. We establish that viscosity …

We establish the interior C 1, α-estimate for viscosity solutions of degenerate/singular fully
nonlinear parabolic equations ut=| D u| γ F (D 2 u)+ f in Q 1, where γ>− 1 and f∈ C (Q 1)∩ …