Browsing by Author "17013f5d-1d0d-4326-a443-cdd5767e5e25"

Now showing items 1-3 of 3

    • Maximal solution of the Liouville equation in doubly connected domains 
      Kowalczyk, Michał; Pistoia, Angela; Vaira, Giusi (Academic Press Inc., 2019)
      In this paper we consider the Liouville equation Δu+λ2eu=0 with Dirichlet boundary conditions in a two dimensional, doubly connected domain Ω. We show that there exists a simple, closed curve γ⊂Ω such that for a sequence ...
    • On the origin of the optical vortex lattices in a nematic liquid crystal light valve 
      Calisto, Enrique; Clerc Gavilán, Marcel; Kowalczyk, Michał; Smyrnelis, Panayotis (OSA - The Optical Society, 2019)
      Optical vortices and lattices of these are attracting the attention of the scientific community because of their applications in various fields of optical processing, communications, enhanced imaging systems, and bio-inspired ...
    • Rotationally symmetric solutions to the Cahn-Hilliard equation 
      Hernández, Álvaro; Kowalczyk, Michał (Southwest Missouri State University, 2017)
      This paper is devoted to construction of new solutions to the Cahn-Hilliard equation in ℝd. Staring from the Delaunay unduloid Dô with parameter τ ∈ (0, τ∗) we find for each sufficiently small ε a solution u of this equation ...