Quasilinear elliptic equations in \RN via variational methods and Orlicz-Sobolev embeddings

2012/07/10 by Antonio Azzollini, Pietro d’Avenia, Pietro d'Avenia +4 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1207.2303

18 pages, 1 figure

arxiv created 2012/07/10 · openalex publication_date 2012/07/10 · arxiv updated 2012/07/11 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity result is also given.

Citations

• Existence of solitary waves in higher dimensions

Cited by

• A quasilinear transmission problem with application to Maxwell equations with a divergence-free \mathcal D-field
• Some quasilinear elliptic equations involving multiple p-Laplacians

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