Scholarlink

<p>We consider a Dirichlet problem driven by a nonlinear nonhomogeneous differential operator, with a reaction which exhibits the combined effects of a parametric singular term and of a Carathéodory gradient dependent perturbation. Using the theory of nonlinear operators of monotone type, we show that for all small values of the parameter the problem has at least one positive smooth solution.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Nonlinear singular problems with gradient dependence

  • 期刊论文

  • 发表日期：

    2026年1月22日

查看全文
  • Jiangfeng Han,
  • Zhenhai Liu,
  • Nikolaos S. Papageorgiou

摘要

We consider a Dirichlet problem driven by a nonlinear nonhomogeneous differential operator, with a reaction which exhibits the combined effects of a parametric singular term and of a Carathéodory gradient dependent perturbation. Using the theory of nonlinear operators of monotone type, we show that for all small values of the parameter the problem has at least one positive smooth solution.