On some elementary properties of vector minimizers of the Allen-Cahn energy
From MaRDI portal
Publication:2438939
DOI10.3934/cpaa.2014.13.1045zbMath1285.31005OpenAlexW2327256148MaRDI QIDQ2438939
Publication date: 7 March 2014
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.1045
Related Items (7)
Layered solutions to the vector Allen-Cahn equation in \(\mathbb{R}^2\). Minimizers and heteroclinic connections ⋮ Unnamed Item ⋮ Entire minimizers of Allen-Cahn systems with sub-quadratic potentials ⋮ On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in \(\mathbb{R}^2\) ⋮ Multiphase solutions to the vector Allen-Cahn equation: crystalline and other complex symmetric structures ⋮ On the growth of the energy of entire solutions to the vector Allen-Cahn equation ⋮ Density estimates for vector minimizers and applications
Cites Work
- Entire solutions to equivariant elliptic systems with variational structure
- Symmetry and related properties via the maximum principle
- Multiphase solutions to the vector Allen-Cahn equation: crystalline and other complex symmetric structures
- Equivariant entire solutions to the elliptic system \(\Delta u = W_u(u)\) for general \(G\)-invariant potentials
- Asymptotic behavior and rigidity results for symmetric solutions of the elliptic system Δu = W_u(u)
- A uniform estimate for positive solutions of semilinear elliptic equations
- Some basic facts on the system $\Delta u - W_{u} (u) = 0$
- On the connectedness of boundary and complement for domains
- Entire Solutions with Six-fold Junctions to Elliptic Gradient Systems with Triangle Symmetry
- On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property
This page was built for publication: On some elementary properties of vector minimizers of the Allen-Cahn energy
