2 papers
math.AP2026
Harnack Inequality for Nonlinear Equations Driven by the Normalized Infinity-Laplacian
Ahmed Mohammed, Carson Pocock
We establish interior Harnack inequalities for nonnegative viscosity solutions of \[ Δ_\infty^N u=f(u)+g(u)|Du|^q,\qquad 0<q<2, \] under natural monotonicity, sign, and Keller--Oss…
math.AP2024
Remarks on comparison principles for p-Laplacian with extension to (p,q)-Laplacian
A. Mohammed, A. Vitolo
Our purpose is to generalize some recent comparison principles for operators driven by p-Laplacian to a wide class of quasilinear equations including (p, q)-Laplacian. It turns out…