A study of regularity estimate for weak solution to generalized stationary Stokes-type
systems involving p-Laplacian is offered. The governing systems of equations are based on …

Motivated by applications to gas filtration problems, we study the regularity of weak solutions
to the strongly degenerate parabolic PDE ut-div⁡((| D⁢ u|-ν)+ p-1⁢ D⁢ u| D⁢ u|)= f in⁢ Ω T …

We study nonlinear elliptic problems with nonstandard growth and ellipticity related to an N-
function. We establish global Calderón–Zygmund estimates of the weak solutions in the …

Abstract In recent years, Scientific Machine Learning (SciML) methods for solving Partial
Differential Equations (PDEs) have gained increasing popularity. Within such a paradigm …

We carry on the investigation started in [P. Ambrosio and A. Passarelli di Napoli, Regularity
results for a class of widely degenerate parabolic equations, preprint 2022, version 3 …

We prove a global W< sup> 2, p-estimate for the viscosity solution to fully nonlinear elliptic
equations F (x, u, Du, D< sup> 2 u)= ƒ (x) with oblique boundary condition in a bounded C< …

We derive global W 2, p estimates (with n≤ p<∞) for viscosity solutions to fully nonlinear
elliptic equations under relaxed structural assumptions on the governing operator that are …

We introduce asymptotically elliptic equations and establish the global W 2, p estimates for
viscosity solutions to both asymptotically linear elliptic equations and asymptotically fully …

We prove a global Calderón-Zygmund estimate for the distributional solution to non-
uniformly elliptic equation with an asymptotically regular nonlinearity in a C 1, β-domain for …

We prove a local W 1, p (·)-regularity for the distributional solutions to double phase elliptic
equations with Orlicz growth, and the variable exponents p (x)> 1 satisfying the log-Hölder …