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

Alessio Pomponio; Antonio Azzollini; Pietro d'Avenia

arxiv: 1207.2303 · v1 · pith:IW4OKEI5new · submitted 2012-07-10 · 🧮 math.AP

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

Antonio Azzollini , Pietro d'Avenia , Alessio Pomponio This is my paper

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keywords ellipticorlicz-sobolevproblemquasilinearapproachcriticalembeddingsequations

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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.

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

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