On the Multiplicity of Solutions of Two Nonlocal Variational Problems
From MaRDI portal
Publication:4509600
DOI10.1137/S0036141098348176zbMath0973.49007OpenAlexW2133541181MaRDI QIDQ4509600
Publication date: 19 October 2000
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141098348176
Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)
Related Items
Droplet solutions in the diblock copolymer problem with skewed monomer composition, On De Giorgi's conjecture: recent progress and open problems, Low density phases in a uniformly charged liquid, On global minimizers for a variational problem with long-range interactions, On the ternary Ohta-Kawasaki free energy and its one-dimensional global minimizers, Multidimensional equilibria and their stability in copolymer-solvent mixtures, Froth-like minimizers of a non-local free energy functional with competing interactions, The soliton-stripe pattern in the Seul--Andelman membrane, A rigorous derivation of mean-field models for diblock copolymer melts, The BCC Lattice in a Long-Range Interaction System, MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY, On a quaternary nonlocal isoperimetric problem, Cluster solutions for the Fitzhugh-Nagumo system with Neumann boundary conditions, The spectrum of the torus profile to a geometric variational problem with long range interaction, Morphological characterization of the diblock copolymer problem with topological computation, Bifurcation and fission in the liquid drop model: A phase-field approach, \(\Gamma\)-limit for a sharp interface model related to pattern formation on biomembranes, Nonlocal effects on a 1D generalized Ohta-Kawasaki model, Core Shells and Double Bubbles in a Weighted Nonlocal Isoperimetric Problem, The pattern of multiple rings from morphogenesis in development, A double bubble in a ternary system with inhibitory long range interaction, Evolution and Competition of Block Copolymer Nanoparticles, Lamellar phase solutions for diblock copolymers with nonlocal diffusions, Double tori solution to an equation of mean curvature and Newtonian potential, Single droplet pattern in the cylindrical phase of diblock copolymer morphology, The impact of the domain boundary on an inhibitory system: existence and location of a stationary half disc, A stationary core-shell assembly in a ternary inhibitory system, Copolymer-homopolymer blends: global energy minimisation and global energy bounds, Optimality of the triangular lattice for a particle system with Wasserstein interaction, Stability of spot and ring solutions of the diblock copolymer equation, Convergence of phase-field approximations to the Gibbs-Thomson law, STRIPE PATTERNS IN A MODEL FOR BLOCK COPOLYMERS, Multilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures, A double bubble assembly as a new phase of a ternary inhibitory system, On the first and second variations of a nonlocal isoperimetric problem, Soliton-stripe patterns of a functional with an attractive-repulsive-attractive interaction, Diblock copolymer/homopolymer blends: derivation of a density functional theory, An MBO scheme for minimizing the graph Ohta-Kawasaki functional, Higher Dimensional Bubble Profiles in a Sharp Interface Limit of the FitzHugh--Nagumo System, Optimal Distribution of Oppositely Charged Phases: Perfect Screening and Other Properties, The \(\varGamma\)-limit of the two-dimensional Ohta-Kawasaki energy. I: Droplet density, Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions, Nonhexagonal Lattices From a Two Species Interacting System, Ring pattern solutions of a free boundary problem in diblock copolymer morphology, The impact of the domain boundary on an inhibitory system: interior discs and boundary half discs, Disc-disc structure in a two-species interacting system on a flat torus, One-dimensionality of the minimizers in the large volume limit for a diffuse interface attractive/repulsive model in general dimension, Asymptotic behavior of Allen-Cahn-type energies and Neumann eigenvalues via inner variations, Stationary disk assemblies in a ternary system with long range interaction, Structure of stable solutions of a one-dimensional variational problem, Periodic energy minimizers for a one-dimensional liquid drop model, Connected Coulomb columns: analysis and numerics, Convergence of the TFDW Energy to the Liquid Drop Model, Multiple layered solutions of the nonlocal bistable equation, Triblock copolymer theory: free energy, disordered phase and weak segregation, Stability of Lamellar Configurations in a Nonlocal Sharp Interface Model, Periodic minimizers of a ternary non-local isoperimetric problem, Singular perturbation of an elastic energy with a singular weight
