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<p>In this paper, we consider the existence of positive solution of a Neumann problem for the mean curvature equation in some Friedmann–Lemaître–Robertson–Walker spacetimes. The equation has an indefinite weight, and its nonlinear term exhibits superlinear growth at zero and super-exponential growth at infinity. The proof is based on a topological degree technique.</p>

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Positive solutions to the Neumann problem of the mean curvature equation with indefinite weight in some Friedmann–Lemaître–Robertson–Walker spacetimes

  • 期刊论文

  • 发表日期：

    2026年1月7日

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  • Man Xu,
  • Yanyun Li,
  • Yong Ruan

摘要

In this paper, we consider the existence of positive solution of a Neumann problem for the mean curvature equation in some Friedmann–Lemaître–Robertson–Walker spacetimes. The equation has an indefinite weight, and its nonlinear term exhibits superlinear growth at zero and super-exponential growth at infinity. The proof is based on a topological degree technique.