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<p>In this paper, we obtain the Bossel-Daners inequality for the first eigenvalue of the <i>p</i>-Laplacian with Robin boundary conditions on complete Riemannian manifolds with lower Ricci curvature bounds. Furthermore, we demonstrate that the Bossel-Daners inequality extends to compact minimal submanifolds within complete Riemannian manifolds characterized by positive asymptotic volume ratio and nonnegative intermediate Ricci curvature.</p>

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On the Bossel-Daners Inequality for the p-Laplacian on Complete Riemannian Manifolds

  • 期刊论文

  • 发表日期：

    2025年12月23日

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  • Daguang Chen,
  • Shan Li,
  • Yilun Wei

摘要

In this paper, we obtain the Bossel-Daners inequality for the first eigenvalue of the p-Laplacian with Robin boundary conditions on complete Riemannian manifolds with lower Ricci curvature bounds. Furthermore, we demonstrate that the Bossel-Daners inequality extends to compact minimal submanifolds within complete Riemannian manifolds characterized by positive asymptotic volume ratio and nonnegative intermediate Ricci curvature.