Scholarlink

<p>In this paper, we are interested in Kirchhoff problems driven by a double phase operator with a logarithmic perturbation and with variable exponents. Employing variational methods, we first establish the existence of at least one nontrivial weak solution for the problem under consideration, supposed that the nonlinearity satisfies very general assumptions. Moreover, via modifying slightly the hypotheses on the reaction term and making use of a variant of the symmetric mountain pass theorem, we also produce infinitely many solutions for our problem.</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

On Kirchhoff Double Phase Problems with Logarithmic Perturbation and Variable Exponents

  • 期刊论文

  • 发表日期：

    2025年9月22日

查看全文
  • Shengda Zeng,
  • Francesca Vetro,
  • Patrick Winkert

摘要

In this paper, we are interested in Kirchhoff problems driven by a double phase operator with a logarithmic perturbation and with variable exponents. Employing variational methods, we first establish the existence of at least one nontrivial weak solution for the problem under consideration, supposed that the nonlinearity satisfies very general assumptions. Moreover, via modifying slightly the hypotheses on the reaction term and making use of a variant of the symmetric mountain pass theorem, we also produce infinitely many solutions for our problem.