2 papers
math.AP2026
Sobolev -extension operators and Neumann eigenvalues
Vladimir Gol'dshtein, Alexander Ukhlov
In this article, we consider -extension operators, , on Sobolev spaces. Based on composition operators on Sobolev spaces, we construct the extension op…
math.AP2025
On the weighted Steklov eigenvalue problems in outward cuspidal domains
Prashanta Garain, Vladimir Gol'dshtein, Alexander Ukhlov
In this article, we investigate the weighted Steklov eigenvalue problem and the weighted Schrödinger--Steklov eigenvalue problem in outward cuspidal domains. We prove the solvabil…