Bulletin of the Museum of Comparative Zoology at Harvard College.

v.87 (1940-1941)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.92 (1942-1943)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.79 (1935-1937)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.103 (1949-1950)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.112 (1954-1955)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.81 (1937)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.36 (1900-1901)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.41 (1902-1904)

Bulletin of the Museum of Comparative Zoology at Harvard College.

v.93 (1943-1944)

On square permutations

Severini and Mansour introduced in [4]square polygons, as graphical representations of square permutations, that is, permutations such that all entries are records (left or right, minimum or maximum), and they obtained a nice formula for their number. In this paper we give a recursive construction for this class of permutations, that allows to simplify the derivation of their formula and to enumerate the subclass of square permutations with a simple record polygon. We also show that the generating function of these permutations with respect to the number of records of each type is algebraic, answering a question of Wilf in a particular case.

Positive solutions of nonlinear problems involving the square root of the Laplacian

We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, we establish existence and regularity results, as well as a priori estimates of Gidas-Spruck type. In addition, among other results, we prove a symmetry theorem of Gidas-Ni-Nirenberg type.

The Brezis-Nirenberg type problem involving the square root of the Laplacian

We establish existence and non-existence results to the Brezis-Nirenberg type problem involving the square root of the Laplacian in a bounded domain with zero Dirichlet boundary condition.

31/12/19, crue de la Seine [square du Vert-Galant] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57421