Bifurcation from Infinity and Multiplicity of the Landesman-Lazer Type Problem of Elliptic Equations

TL;DR

This paper investigates the bifurcation from infinity and multiple solutions in elliptic equations with Landesman-Lazer conditions, using dynamical methods to establish new theoretical results.

Contribution

It introduces novel dynamical approaches to analyze bifurcation from infinity and solution multiplicity in Landesman-Lazer elliptic problems.

Findings

New bifurcation from infinity results

Multiple solution existence established

Dynamical methods applied successfully

Abstract

This paper deals with the Landesman-Lazer type problem of elliptic equations associated with homogeneous Dirichlet boundary conditions. By using some dynamical arguments we derive some new results on bifurcation from infinity and multiplicity of the problems.