We consider the problem of k-colouring a random r-uniform hypergraph with n vertices and
cn edges, where k, r, c remain constant as n→∞. Achlioptas and Naor showed that the …

For the stationary nonlinear Schrödinger equation− Δ u+ V (x) u− f (u)= λ u with periodic
potential V we study the existence and stability properties of multibump solutions with …

The applicability of a meshfree approximation method, namely the EFG method, on fully
geometrically exact analysis of plates is investigated. Based on a unified nonlinear theory of …

This book is a travel guide to three mathematical realms. It is not for beginners. The in-
tended audience includes those who are already very familiar with the most popular …

It is shown that the index of a constrained critical point in the isoperimetric calculus of
variations is simply related to the number of negative eigenvalues of a certain bordered …

In the stability analysis of an equilibrium, given by a stationary point of some functional F
[ρ](free-energy functional, eg), the second derivative of F [ρ] plays the essential role. If the …

In the course of realizing certain triangle centers as points that minimize certain quantities,
C. Kimberling and P. Moses, in Math. Mag. 85 (2012) 221–227, discovered an inequality in …

The question of defining unique, generally applicable constrained second, and higher-order,
derivatives is investigated. It is shown that second-order constrained derivatives obtained …

In the course of realizing certain triangle centers as points that minimize certain quantities,
C. Kimberling and P. Moses, in Math. Mag. 85 (2012) 221–227, discovered an inequality in …

The total rain received by a moving body has previously been modelled by defining a
wetness function. Several cases such as one-dimensional motion of an inclined plane, two …