Entire solutions to equivariant elliptic systems with variational structure
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Publication:715339
DOI10.1007/s00205-011-0441-zzbMath1266.35055arXiv0811.0106OpenAlexW2038517582MaRDI QIDQ715339
Giorgio Fusco, Nicholas D. Alikakos
Publication date: 5 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.0106
Related Items (22)
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 ⋮ Unnamed Item ⋮ On the structure of minimizers of the Allen-Cahn energy for \(Z_N\) symmetric nonnegative potentials with \(N+1\) zeros ⋮ Unbounded solutions for a periodic phase transition model ⋮ On the existence of multi-transition solutions for a class of elliptic systems ⋮ 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 some elementary properties of vector minimizers of the Allen-Cahn energy ⋮ Unnamed Item ⋮ Equivariant entire solutions to the elliptic system \(\Delta u = W_u(u)\) for general \(G\)-invariant potentials ⋮ Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential ⋮ 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 ⋮ A uniform estimate for positive solutions of semilinear elliptic equations ⋮ Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential ⋮ Solutions of higher topological type for an Allen-Cahn model equation ⋮ Multiphase solutions to the vector Allen-Cahn equation: crystalline and other complex symmetric structures ⋮ Global dynamics in a reaction-diffusion multi-group SIR epidemic model with nonlinear incidence ⋮ A variational approach to three-phase traveling waves for a gradient system ⋮ On the loss of compactness in the vectorial heteroclinic connection problem ⋮ Density estimates for vector minimizers and applications
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