Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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We establish the existence and sharp global regularity results (C 0, γ C^0,γ, C 0, 1 C^0,1
and C 1, α C^1,α estimates) for a class of fully nonlinear elliptic Partial Differential Equations …

Fully nonlinear free transmission problems with nonhomogeneous degeneracies Page 1
Interfaces Free Bound. 24 (2022), 197–233 DOI 10.4171/IFB/471 © 2022 European Mathematical …

Nonuniform ellipticity is a classical topic in the theory of partial differential equations. While
several results in regularity theory have been adding up over decades, many basic issues …

We consider a one-phase free boundary problem governed by doubly degenerate fully
nonlinear elliptic PDEs with non-zero right hand side, which should be understood as an …

Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations |
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We establish the existence and sharp global regularity results ($ C^{0,\gamma} $, $ C^{0, 1}
$ and $ C^{1,\alpha} $ estimates) for a class of fully nonlinear elliptic PDEs with unbalanced …

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)∩ …

Degenerate/singular equations appear in many applications, such as porous media
equations, p-Laplace equations, Monge–Ampère equations, Gaussian curvature flows, and …

A SINGULAR PERTURBATION PROBLEM GOVERNED BY THE NORMALIZED p(x)-LAPLACIAN
OPERATOR In recent years, studies on tug-of-war games Page 1 A SINGULAR …