Scholarlink

<p>In this paper, we study the existence of positive solutions to a periodic problem for the mean curvature equation in Friedmann-Lemaître-Robertson-Walker spacetime. The equation features an indefinite weight function, and its nonlinear term exhibits superlinear growth near zero and super-exponential growth at infinity. The proof relies on topological degree theory. By using continuation methods, we also establish the existence of periodic solutions for the corresponding equation.</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

Positive Solutions to the Periodic Problem of the Mean Curvature Equation with Indefinite Weight in Friedmann-Lemaître-Robertson-Walker Spacetime

  • 期刊论文

  • 发表日期：

    2026年4月13日

查看全文
  • Man Xu,
  • Yong Ruan,
  • Yanyun Li

摘要

In this paper, we study the existence of positive solutions to a periodic problem for the mean curvature equation in Friedmann-Lemaître-Robertson-Walker spacetime. The equation features an indefinite weight function, and its nonlinear term exhibits superlinear growth near zero and super-exponential growth at infinity. The proof relies on topological degree theory. By using continuation methods, we also establish the existence of periodic solutions for the corresponding equation.