We consider the homogenization of both the parabolic and eigenvalue problems for a
singularly perturbed convection-diffusion equation in a periodic medium. All coefficients of …

We consider the nonlinear Schrödinger equation (-Δ+ V (x)) u= Γ (x)| u|^ p-1 u,\quad x
∈\mathbb R^ n with V (x)= V 1 (x), Γ (x)= Γ 1 (x) for x 1> 0 and V (x)= V 2 (x), Γ (x)= Γ 2 (x) for …

The paper provides a rigorous analysis of the dispersion spectrum of shear horizontal elastic
waves in periodically stratified solids. The problem consists of an ordinary differential wave …

We give an explicit characterization of obliquely propagating electric modes within a
multilayered planar dielectric waveguide of cross-section [0, 1]. This foliated strip, with fixed …

We solve a second-order elliptic equation with quasi-periodic boundary conditions defined
on a honeycomb lattice that represents the arrangement of carbon atoms in graphene. Our …

The graphene is a substance with carbon atoms arranged in a honeycomb lattice. The
dynamics of the electrons in the structure is governed by the Hamilton equations of the …

We solve a second-order elliptic equation with quasi-periodic boundary conditions defined
on a honeycomb lattice that represents the arrangement of carbon atoms in graphene. Our …