Uniformly Degenerate Elliptic Equations with Varying Characteristic Exponents

TL;DR

This paper investigates the regularity properties of solutions to a class of uniformly degenerate elliptic equations where the characteristic exponents vary, providing insights into their behavior in bounded domains.

Contribution

It introduces a novel analysis of elliptic equations with variable characteristic exponents, extending existing regularity results to more general degenerate cases.

Findings

Established regularity results for solutions with variable characteristic exponents.

Extended the theory of degenerate elliptic equations to non-constant characteristic conditions.

Provided new techniques for analyzing elliptic equations with degeneracy.

Abstract

In this paper, we study the regularity of solutions to uniformly degenerate elliptic equations in bounded domains under the condition that the characteristic polynomials have varying characteristic exponents.