ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations

We prove Aleksandrov-Bakelman-Pucci estimates 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.

💡 Research Summary

This paper addresses a class of degenerate fully‑nonlinear pseudo‑p‑Laplacian equations in non‑divergence form, establishing both Aleksandrov‑Bakelman‑Pucci (ABP) estimates and Harnack inequalities for viscosity solutions. The model operator is
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