On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces

2016/10/09 by Edcarlos D. Silva, Silva, Edcarlos D., J.V. Gonçalves +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1610.02662

openalex publication_date 2016/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the Φ-Laplacian operator on bounded domains. Our main results are stated without the so called Δ₂ condition at infinity which means that the underlying Orlicz-Sobolev spaces are not reflexive.

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