Browsing by Subject "Uniqueness"

Now showing items 1-7 of 7

    • Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model 
      Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (Cambridge University Press, 2020)
      We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole model dynamics. Firstly, we prove the existence ...
    • Ground states and concentration phenomena for the fractional Schrodinger equation 
      Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico (IOP Publishing, 2015)
      We consider here solutions of the nonlinear fractional Schr¨odinger equation ε2s(− )su + V (x)u = up. We show that concentration points must be critical points for V . We also prove that if the potential V is coercive ...
    • An inhomogeneous nonlocal diffusion problem with unbounded steps 
      Cortázar, Carmen; Elgueta, Manuel; García Melian, Jorge; Martínez, Salomé (SPRINGER BASEL AG., 2016)
      We consider the following nonlocal equation integral J (x-y/g(y)) u(y)/g(y) dy - u(x) = 0 x is an element of R, where J is an even, compactly supported, Holder continuous kernel with unit integral and g is a ...
    • Large solutions to elliptic equations involving fractional Laplacian 
      Huyuan, Chen; Felmer Aichele, Patricio; Quaas, Alexander (Elsevier, 2015)
      The purpose of this paper is to study boundary blow up solutions for semi-linear fractional elliptic equations of the form {(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = f(x), x is an element of Omega, ...
    • Monotone waves for non-monotone and non-local monostable reaction–diffusion equations 
      Trofimchuk, Elena; Pinto Jiménez, Manuel; Trofimchuk, Sergei (Elsevier, 2016)
      We propose a new approach for proving existence of monotone wavefronts in non-monotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...
    • Radial and cylindrical symmetry of solutions to the Cahn-Hilliard equation 
      Rizzi, Matteo (Springer Heidelberg, 2020)
      The paper is devoted to the classification of entire solutions to the Cahn–Hilliard equation −u = u −u3 −δ in RN , with particular interest in those solutions whose nodal set is either bounded or contained in a cylinder. ...
    • Self-generated interior blow-up solutions in fractional elliptic equation with absorption 
      Chen, Huyuan; Felmer Aichele, Patricio; Quaas, Alexander (2015)
      In this paper, we study positive solutions to problems involving the fractional Laplacian {(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = 0, x is an element of Omega \ C, u(x) = 0, x is an element of ...