Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold

This publication has 27 references indexed in Scilit:

• Equilibria with Many Nuclei for the Cahn–Hilliard Equation
  Journal of Differential Equations, 2000
• Slow Dynamics for the Cahn-Hilliard Equation in Higher Space Dimensions: The Motion of Bubbles
  Archive for Rational Mechanics and Analysis, 1998
• On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
  Discrete & Continuous Dynamical Systems, 1996
• Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and the quasi-invariant manifold
  Indiana University Mathematics Journal, 1996
• Slow dynamics for the cahn-hilliard equation in higher space dimension part i: spectral estimates^∗
  Communications in Partial Differential Equations, 1994
• The Dynamics of Nucleation for the Cahn–Hilliard Equation
  SIAM Journal on Applied Mathematics, 1993
• Slow motion for the Cahn-Hilliard equation in one space dimension
  Journal of Differential Equations, 1991
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
  Archive for Rational Mechanics and Analysis, 1991
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)
  Communications on Pure and Applied Mathematics, 1989
• Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations
  Published by Walter de Gruyter GmbH ,1983