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arXiv · 2601.14186

The nonlinear Steklov problem in outward cuspidal domains

Pier Domenico Lamberti·Alexander Ukhlov
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Abstract

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.

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Pier Domenico Lamberti, Alexander Ukhlov. 2026-01-20. The nonlinear Steklov problem in outward cuspidal domains. https://arxiv.org/abs/2601.14186

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