Existence and regularity results for Fully Non Linear Operators on the model of the pseudo Pucci's operators

TL;DR

This paper establishes Lipschitz estimates and existence results for a class of degenerate fully nonlinear elliptic equations, generalizing pseudo p-Laplacian operators, which are degenerate where partial derivatives vanish.

Contribution

It introduces new existence and regularity results for a broad class of degenerate fully nonlinear operators extending pseudo p-Laplacian models.

Findings

Proved Lipschitz continuity for solutions.

Established existence results for the class of equations.

Generalized pseudo p-Laplacian operators to broader degenerate cases.

Abstract

In this article we prove some Lipschitz estimates and existence result for a class of degenerate fully nonlinear elliptic equations which are a generalization of the pseudo p-Laplacian. The operators are degenerate elliptic at any point where even only one partial derivative of the solution is zero.