Harnack inequality for a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations
Sun-Sig Byun, Hongsoo Kim
公開日: 2025/9/29
Abstract
We prove interior H\"older regularity and Harnack inequalities for viscosity solutions of a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations in nondivergence form. Our main approach is an adaptation of the sliding paraboloid method with anisotropic functions tailored to the coordinatewise degeneracy.