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The nonlinear Steklov problem in outward cuspidal domains

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This article analyzes the nonlinear Steklov eigenvalue problem in outward cuspidal domains, revealing new solutions.

To investigate the nonlinear Steklov eigenvalue problem in outward cuspidal domains and characterize its first eigenvalue.
Derived a variational characterization of the first non-trivial eigenvalue
Utilized weighted trace embedding for compactness considerations
Proved the existence of corresponding weak solutions
Identified the first non-trivial eigenvalue in the variational framework
Established the existence of weak solutions related to the eigenvalue problem

Lamberti et al. (2026) studied this question.

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