31 citations · 151 across the 56 of their papers we have counts for
5 papers · 1 filter
A note on repelling periodic points for meromorphic functions with bounded set of singular values
Anna Miriam Benini
Let be a meromorphic function with bounded set of singular values and for which infinity is a logarithmic singularity. Then we show that has infinitely many repelling perio…
On the Sobolev and Hardy constants for the fractional Navier Laplacian
Roberta Musina, Alexander I. Nazarov
We prove the coincidence of the Sobolev and Hardy constants relative to the "Dirichlet" and "Navier" fractional Laplacians of any real order over bounded doma…
On symmetry of extremals in several embedding theorems
E. V. Mukoseeva, A. I. Nazarov
We study the symmetry/asymmetry of functions providing sharp constants in the embedding theorems ${\stackrel{\circ}{W}}\vphantom{W}_2^r(-1,1)\hookrightarrow{\stackrel{\circ}{W}}\vp…
On fractional Laplacians -- 2
Roberta Musina, Alexander I. Nazarov
The present paper is the natural evolution of arXiv:1308.3606. For we compare two natural types of fractional Laplacians , namely, the "Navier" and the "Dirichlet" o…
On monotonicity of some functionals under rearrangements
S. V. Bankevich, A. I. Nazarov
We consider the Polya--Szegö type weighted inequality. We prove this inequality for monotone rearrangement and for Steiner's symmetrization.