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

2018/03/08 by Xuewei Ju, Ju, Xuewei, Desheng Li +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.DS

paper · pdf · doi:10.48550/arxiv.1803.02996

19 pages

arxiv created 2018/03/08 · openalex publication_date 2018/03/08 · arxiv updated 2018/03/09 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28

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.

Related

• A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity
• Bifurcation and Multiplicity Results for Elliptic Problems with Subcritical Nonlinearity on the Boundary
• Bifurcation from infinity for elliptic problems on R^N
• Bifurcation Theory for a Class of Periodic Superlinear Problems
• Multiplicity results and qualitative properties for semilinear elliptic problems with Neumann boundary conditions