Linear Elliptic equations with nonlinear boundary conditions under strong resonance conditions

2015/07/28 by Alzaki Fadlallah, Fadlallah, Alzaki, Edcarlos D.Da Silva +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1507.07989

arxiv created 2015/07/28 · openalex publication_date 2015/07/28 · arxiv updated 2015/07/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this work we establish existence and multiplicity of solutions for elliptic problem with nonlinear boundary conditions under strong resonance conditions at infinity. The nonlinearity is resonance at infinity and the reso- nance phenomena occurs precisely in the first Steklov eigenvalue problem. In all results we use Variational Methods, Critical Groups and the Morse Theory.

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