The nonlinear Steklov problem in outward cuspidal domains

Published 20 Jan 2026 in math.AP | (2601.14186v1)

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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