Minimization of a fractional perimeter-Dirichlet integral functional

Key words: Mulholland inequality, Hilbert-type inequality, weight function, equiv- alent form, the best possible constant factor.. The above inequality includes the best

Cubic hypersurfaces, lines in hypersurfaces, finite fields, zeta functions, Tate conjecture, Fano varieties.. The second author was partially supported by Proyecto FONDECYT

We construct local minimizers to the Ginzburg-Landau functional of supercon- ductivity whose number of vortices N is prescribed and blows up as the parameter ε, inverse of

But for finite depth foliations (which have two sided branching), there are many examples where it is impossible to make the pseudo-Anosov flow transverse to the foliation [Mo5] and

Let X be a n-dimensional compact Alexandrov space satisfying the Perel’man conjecture. Let X be a compact n-dimensional Alexan- drov space of curvature bounded from below by

We establish a generalization of the Penrose singularity the- orem which shows that the presence of an immersed marginally outer trapped surface generically implies the null

A second scheme is associated with a decentered shock-capturing–type space discretization: the II scheme for the viscous linearized Euler–Poisson (LVEP) system (see section 3.3)..

In [15], the author has proved the first order convergence of the IB method for the Stokes equations with a periodic boundary condition in 2D based on existing estimates between