Multiple solutions for a class of semilinear elliptic equations

TL;DR

This paper demonstrates the existence of three distinct solutions for a specific class of semilinear elliptic equations using advanced mathematical techniques.

Contribution

It introduces a novel combination of truncation, minimization, and Morse theory to find multiple solutions for these equations.

Findings

Established the existence of three solutions.

Applied a combination of advanced mathematical methods.

Provided new insights into semilinear elliptic equations.

Abstract

By using truncation technique, minimization method and Morse theory, we obtain three nontrivial solutions for a class of semilinear elliptic equations.