On linked Jordan curves in
On local and global moduli of convexity
On local convexity of nonlinear mappings between Banach spaces
We find conditions for a smooth nonlinear map f: U → V between open subsets of Hilbert or Banach spaces to be locally convex in the sense that for some c and each positive ɛ < c the image f(B ɛ(x)) of each ɛ-ball B ɛ(x) ⊂ U is convex. We give a lower bound on c via the second order Lipschitz constant Lip2(f), the Lipschitz-open constant Lipo(f) of f, and the 2-convexity number conv2(X) of the Banach space X.
On longest circuits in certain non-regular planar graphs
On lower bounds of the density of Delone sets and holes in sequences of sphere packings.
On mappings preserving a family of star bodies.
On maximal ot-subsets of the Euclidean plane.
On minimum area quadrilaterals and triangles circumscribed about convex plane regions.
On minimum kissing numbers of finite translative packings of a convex body.
On mixed sphere packings.
On monotone minimal cuscos
On Multiple Space Subdivisions by Zonotopes.
On Nash theorem
On new isoperimetric inequalities and symmetrization.
On non-inscribable polytopes
On optimal route planning evading cubes in the three space.
On order and metric convexities in
On packing of squares into a rectangle
On packing spheres into containers.
On parametric density of finite circle packings.