We continue the work of Camano et al . [ SIAM J. Math. Anal. 49 (2017) 4376–4401] on electromagnetic Steklov eigenvalues. The authors recognized that in general eigenvalues do not correspond to spectrum a compact operator and hence proposed modified eigenvalue problem with desired properties. present article considers original problem. cast problems as for holomorphic function A (?). construct ...

We study the recursion (aka Schur) parameters for monic polynomials orthogonal on the unit circle with respect to a weight which provides negative answer to the conjecture of Steklov.

In this paper, we establish two families of sharp geometric inequalities for closed hypersurfaces in space forms or other warped product manifolds. Both compare three distinct quantities. The first family concerns the k-th boundary momentum, area and weighted volume, has applications to Weinstock-type Steklov Wentzell eigenvalues on star-shaped mean convex domains. This generalizes main results...

This is a part of the Advanced Mechanics course MA2341. These notes are partially based on the textbook “Mechanics” by L.D. Landau and E.M. Lifshitz. ∗Email: [email protected] † Correspondent fellow at Steklov Mathematical Institute, Moscow.

Let M n M^n be a smooth compact manifold with boundary. We show that for generic ...