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<p>In this article, we consider the nonlinear Steklov eigenvalue problem in outward cuspidal domains. Using the compactness of the weighted trace embedding we obtain the variational characterization of the first non-trivial eigenvalue and prove the existence of a corresponding weak solution.</p>

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The nonlinear Steklov problem in outward cuspidal domains

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月11日

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  • Pier Domenico Lamberti,
  • Alexander Ukhlov

摘要

In this article, we consider the nonlinear Steklov eigenvalue problem in outward cuspidal domains. Using the compactness of the weighted trace embedding we obtain the variational characterization of the first non-trivial eigenvalue and prove the existence of a corresponding weak solution.