Existence and regularity of solutions for a class of singular (p(x),q(x))- Laplacian systems

TL;DR

This paper investigates the existence of positive smooth solutions for a class of singular variable exponent Laplacian systems, employing sub and supersolution techniques to establish their existence and regularity.

Contribution

It introduces new methods for proving the existence and regularity of solutions to singular (p(x),q(x))-Laplacian systems with variable exponents.

Findings

Existence of positive smooth solutions established.

Regularity results for solutions proved.

Applicable to a broad class of singular systems.

Abstract

In this paper we study the existence of positive smooth solutions for a class of singular (p(x),q(x))- Laplacian systems by using sub and supersolution methods.