The nonlinear Steklov problem in outward cuspidal domains

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.

💡 Research Summary

The paper investigates a weighted nonlinear Steklov eigenvalue problem in outward cuspidal domains (\Omega_\gamma\subset\mathbb{R}^n). The authors consider the p‑Laplacian equation
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