The paper concerns a new method to obtain a direct proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the uni…cation and re…nement of several methods developed somehow separately in several works of the authors. In fact, this work is a synthesis and a precise specialization to a general situation of some techniques explored in the last years ...

Let I be a real interval, J a subinterval of I, p ≥ 2 an integer number, and M1, . . . ,Mp : I → I the continuous means. We consider the problem of invariance of the graphs of functions φ : Jp−1 → I with respect to the mean-type mapping M = (M1, . . . ,Mp) . Applying a result on the existence and uniqueness of an M-invariant mean [7], we prove that if the graph of a continuous function φ : Jp−1...

The problem studied is that of a rotationally symmetric liquid bridge between two contacting balls of equal radius, with the same contact angle with both balls, and in the absence of gravity. The bridge surface must be of constant mean curvature, hence a Delaunay surface. If the contact angle is less than π 2 , existence of a rotationally symmetric bridge is shown for a large range of the relev...

We quantify the asymptotic vanishing of the ground-state overlap of two noninteracting Fermi gases in d -dimensional Euclidean space in the thermodynamic limit. Given two one-particle Schrödinger operators in nite-volume which di er by a compactly supported bounded potential, we prove a power-law upper bound on the ground-state overlap of the corresponding non-interacting N -Fermion systems. We...

Received by the editors March 8, 2010 and, in revised form, August 2, 2010, October 26, 2010, and December 17, 2010. 2010 Mathematics Subject Classification. Primary 35B65, 45G05, 47G10.

2010 Mathematics Subject Classification: 65H10, 49M99, 65F30

Sherman D. Riemenschneider Zuowei Shen Department of Mathematics Department of Mathematics West Virginia University National University of Singapore Morgantown, WV 26506 Singapore 119260 [email protected] Abstract: In this note, we present a construction of interpolatory wavelet packets. Interpolatory wavelet packets provide a ner decomposition of the 2jth dilate cardinal interpolation spa...

AND SUPER CAPELLI IDENTITIES Alexander Molev Centre for Mathematics and its Applications, Australian National University, Canberra, ACT 0200, Australia (e-mail: [email protected]) Abstract A factorial analogue of the supersymmetric Schur functions is introduced. It is shown that factorial versions of the Jacobi{Trudi and Sergeev{Pragacz formulae hold. The results are applied to construct a ...

A Hopf-bifurcation scenario with symmetries is studied. Here, apart from the well known branches of periodic solutions, other bifurcation phenomena have to occur as it is shown in the second part of the paper using topological arguments. In this rst part of the paper we prove analytically that invariant tori with quasiperiodic motion bifurcate. The main methods used are orbit space reduction an...

We study some classes of generalized a¢ ne functions, using a generalized di¤erential. We study some properties and characterizations of these classes and we devise some characterizations of solution sets of optimization problems involving such functions or functions of related classes. Key words: colinvex, colin…ne, generalized di¤erential, optimization problem, protoconvex function, pseudocon...