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

2012/07/10 by Antonio Azzollini, Pietro d’Avenia, Azzollini, Antonio +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1207.2303

openalex publication_date 2012/07/10 · 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

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