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Two non-trivial solutions for a non-homogeneous Neumann problem: an Orlicz–Sobolev space setting

  • Alexandru Kristály (a1), Mihai Mihăilescu (a2) and Vicenţiu Rădulescu (a3)

In this paper we study a non-homogeneous Neumann-type problem which involves a nonlinearity satisfying a non-standard growth condition. By using a recent variational principle of Ricceri, we establish the existence of at least two non-trivial solutions in an appropriate Orlicz–Sobolev space.

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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