On the weighted Steklov eigenvalue problems in outward cuspidal domains

Prashanta Garain, Vladimir Gol'dshtein, Alexander Ukhlov

公開日: 2024/3/30

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.