The nonlinear Steklov problem in outward cuspidal domains
Analysis of PDEs
2026-01-21 v1
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.
Cite
@article{arxiv.2601.14186,
title = {The nonlinear Steklov problem in outward cuspidal domains},
author = {Pier Domenico Lamberti and Alexander Ukhlov},
journal= {arXiv preprint arXiv:2601.14186},
year = {2026}
}
Comments
8 pages