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<p>This paper deals with the existence of positive radial solution for a prescribed mean curvature problem on an exterior domain. Based on the Leray–Schauder degree arguments, we establish a new existence result provided that the nonlinearity is superlinear at zero. Furthermore, we give one example to illustrate the existence result.</p>

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A new existence result for a prescribed mean curvature problem on an exterior domain

  • 期刊论文

  • 发表日期：

    2025年8月29日

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  • Tingzhi Cheng,
  • Xianghui Xu

摘要

This paper deals with the existence of positive radial solution for a prescribed mean curvature problem on an exterior domain. Based on the Leray–Schauder degree arguments, we establish a new existence result provided that the nonlinearity is superlinear at zero. Furthermore, we give one example to illustrate the existence result.