A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential
From MaRDI portal
Publication:4892759
DOI<677::AID-CPA2>3.0.CO;2-6 10.1002/(SICI)1097-0312(199607)49:7<677::AID-CPA2>3.0.CO;2-6zbMath0855.35035OpenAlexW1972202466MaRDI QIDQ4892759
Lia Bronsard, Michelle Schatzman, Changfeng Gui
Publication date: 16 February 1997
Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199607)49:7<677::aid-cpa2>3.0.co;2-6
Related Items
Layered solutions to the vector Allen-Cahn equation in \(\mathbb{R}^2\). Minimizers and heteroclinic connections, Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result, On the heteroclinic connection problem for multi-well gradient systems, On variational characterization of four-end solutions of the Allen-Cahn equation in the plane, Asymptotic behavior of the interface for entire vector minimizers in phase transitions, The heteroclinic connection problem for general double-well potentials, On the structure of minimizers of the Allen-Cahn energy for \(Z_N\) symmetric nonnegative potentials with \(N+1\) zeros, Interface layer of a two-component Bose–Einstein condensate, Local minimizers and planar interfaces in a phase-transition model with interfacial energy, Entire minimizers of Allen-Cahn systems with sub-quadratic potentials, On the existence of \(N\)-junctions for a symmetric nonnegative potential with \(N+1\) zeros, On the triple junction problem without symmetry hypotheses, Symmetry and asymmetry of components for elliptic Gross-Pitaevskii system, Unnamed Item, Equivariant entire solutions to the elliptic system \(\Delta u = W_u(u)\) for general \(G\)-invariant potentials, On anisotropic order parameter models for multi-phase systems and their sharp interface limits, Generalized Transition Waves and Their Properties, Metric methods for heteroclinic connections in infinite dimensional spaces, A maximum principle for systems with variational structure and an application to standing waves, A New Proof for the Existence of an Equivariant Entire Solution Connecting the Minima of the Potential for the System Δu − Wu(u) = 0, Hamiltonian identities for elliptic partial differential equations, Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential, Higher energy solutions in the theory of phase transitions: A variational approach, Domain walls in the coupled Gross-Pitaevskii equations, A multi-phase Mullins–Sekerka system: matched asymptotic expansions and an implicit time discretisation for the geometric evolution problem, Stability of basic steady states of networks in bounded domains, Multiphase solutions to the vector Allen-Cahn equation: crystalline and other complex symmetric structures, Entire solutions to equivariant elliptic systems with variational structure, On the existence of heteroclinic connections, A variational approach to three-phase traveling waves for a gradient system, Relaxation of the flow of triods by curve shortening flow via the vector-valued parabolic Allen-Cahn equation, Stability of bounded dynamical networks with symmetry, Tiling with Almost-BPS-Invariant Domain-Wall Junctions, Non-minimizing connecting orbits for multi-well systems, Density estimates for vector minimizers and applications, Layer solutions for an Allen-Cahn type system driven by the fractional Laplacian
