On the weighted Steklov eigenvalue problems in outward cuspidal domains
Analysis of PDEs
2025-09-23 v3
Abstract
In this article, we investigate the weighted Steklov eigenvalue problem and the weighted Schr\"odinger--Steklov eigenvalue problem in outward cuspidal domains. We prove the solvability of these spectral problems in both linear and non-linear cases.
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Cite
@article{arxiv.2404.00460,
title = {On the weighted Steklov eigenvalue problems in outward cuspidal domains},
author = {Prashanta Garain and Vladimir Gol'dshtein and Alexander Ukhlov},
journal= {arXiv preprint arXiv:2404.00460},
year = {2025}
}
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17 pages