Non-existence of positive weak solutions for some nonlinear (p,q)-Laplacian systems

TL;DR

This paper proves that under certain conditions, positive weak solutions do not exist for specific nonlinear (p,q)-Laplacian systems, advancing understanding of their solution structure.

Contribution

It establishes non-existence results for positive weak solutions in nonlinear (p,q)-Laplacian systems, a novel contribution to the mathematical analysis of these systems.

Findings

Positive weak solutions do not exist under certain conditions.

The results clarify the limitations of solutions for nonlinear (p,q)-Laplacian systems.

The work extends the theoretical understanding of nonlinear differential operators.

Abstract

In this work we deal with the class of nonlinear (p,q)-Laplacian system. Non-existence results of positive weak solutions for this system are established.