Anisotropic Kelvin-type transform for a class of anisotropic elliptic operators

TL;DR

This paper introduces a novel anisotropic Kelvin-type transform to analyze semilinear and quasilinear elliptic problems in the entire space, advancing methods for anisotropic elliptic operators.

Contribution

It presents a new Kelvin-type transform specifically designed for anisotropic elliptic operators, expanding analytical tools in this area.

Findings

Developed a new transform for anisotropic elliptic operators.

Applied the transform to semilinear and quasilinear problems.

Provided insights into solution behaviors in anisotropic settings.

Abstract

In this paper we introduce and study a new Kelvin-type transform in the anisotropic setting. In particular, we deal with semilinear and quasilinear anisotropic elliptic problems in the entire space.