A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation

TL;DR

This paper introduces a sub-supersolution method combined with pseudomonotone operator theory to prove the existence of solutions for a quasilinear Kirchhoff equation, advancing analytical techniques in nonlinear PDEs.

Contribution

It presents a novel application of sub-supersolution and pseudomonotone operators to establish existence results for Kirchhoff equations.

Findings

Existence of solutions proved for the quasilinear Kirchhoff equation.

Development of a new analytical framework combining sub-supersolution and pseudomonotone operator methods.

Abstract

In this paper we establish an existence result for a quasilinear Kirchhoff equation via a sub and supersolution approach, by using the pseudomonotone operators theory.