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

Antonio Azzollini; Pietro d'Avenia; Alessio Pomponio

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arXiv · 1207.2303

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

Antonio Azzollini·Pietro d'Avenia·Alessio Pomponio

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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.

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Antonio Azzollini, Pietro d'Avenia, Alessio Pomponio. 2012-07-10. Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings. https://arxiv.org/abs/1207.2303

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