Multiple solutions of $p$-biharmonic equations with Navier boundary conditions

TL;DR

This paper investigates the existence of multiple weak solutions for a class of elliptic p-biharmonic boundary problems using variational methods, providing theoretical results and a practical example.

Contribution

It introduces new variational techniques to establish multiple solutions for p-biharmonic equations with Navier boundary conditions.

Findings

Multiple weak solutions are proven to exist.

A concrete application example is provided.

The methods extend previous results in elliptic boundary problems.

Abstract

In this paper, exploiting variational methods, the existence of multiple weak solutions for a class of elliptic Navier boundary problems involving the $p$-biharmonic operator is investigated. Moreover, a concrete example of an application is presented.