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<p>We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which exhibits the competing effects of a parametric singular term and of a superlinear perturbation. Using variational methods together with truncation and comparison techniques, we show that for all small values of the parameter, the problem has at least two positive smooth solutions.</p>

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Nonlinear singular problems with an indefinite perturbation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月23日

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  • Nikolaos S. Papageorgiou,
  • Calogero Vetro,
  • Francesca Vetro

摘要

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which exhibits the competing effects of a parametric singular term and of a superlinear perturbation. Using variational methods together with truncation and comparison techniques, we show that for all small values of the parameter, the problem has at least two positive smooth solutions.