4 problems

Let $\Omega$ be a two-dimensional domain, and consider the classical sloshing problem … Its eigenvalues, counted with multiplicity, are denoted by…

Let $\{\tilde{\sigma}_j\}_{j\in\mathbb N_0}$ be the edge-wave and surface-wave quasi-eigenvalues arranged in ascending order. The sequence is asymptotically complete if the indexin…

Let $N(c3)$ be the eigenvalue counting function of the sloshing problem, and let $N^e(c3)$ and $N^s(c3)$ denote respectively the counting functions for edge-wave and surface-wave q…

Mixed Steklov eigenvalue conjecture. For $d=2$, one should have