Estimates for fully anisotropic elliptic equations with a zero order term

TL;DR

This paper derives integral estimates for weak solutions of fully anisotropic elliptic equations with zero order terms, employing symmetrization techniques to handle the nonlinear nature of the problem.

Contribution

It introduces new integral estimates for fully anisotropic elliptic equations with zero order terms using symmetrization methods.

Findings

Established integral bounds for solutions to anisotropic elliptic equations.

Extended symmetrization techniques to nonlinear, fully anisotropic contexts.

Provided a framework for analyzing zero order terms in elliptic PDEs.

Abstract

Integral estimates for weak solutions to a class of Dirichlet problems for nonlinear, fully anisotropic, elliptic equations with a zero order term are obtained using symmetrization techniques.