Multiple solutions for Kirchhoff equations under the partially sublinear case

TL;DR

This paper proves the existence of infinitely many solutions for a class of Kirchhoff equations with partially sublinear conditions, extending Clark's Theorem to this context.

Contribution

It introduces an extension of Clark's Theorem to establish multiple solutions for sublinear Kirchhoff equations.

Findings

Proved existence of infinitely many solutions.

Extended Clark's Theorem for Kirchhoff equations.

Applicable to partially sublinear cases.

Abstract

In this paper, we prove the infinitely many solutions to a class of sublinear Kirchhoff type equations by using an extension of Clark's Theorem established by Zhaoli Liu and Zhi-Qiang Wang.