Moduli space theory for the Allen-Cahn equation in the plane
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Publication:4915110
DOI10.1090/S0002-9947-2012-05594-2zbMath1286.35018MaRDI QIDQ4915110
Michał Kowalczyk, Frank Pacard, Manuel A. del Pino
Publication date: 16 April 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Semilinear elliptic equations (35J61) Entire solutions to PDEs (35B08)
Related Items (20)
Half-space theorems for the Allen-Cahn equation and related problems ⋮ Classification of finite Morse index solutions to the elliptic sine-Gordon equation in the plane ⋮ On variational characterization of four-end solutions of the Allen-Cahn equation in the plane ⋮ Two-end solutions to the Allen-Cahn equation in \(\mathbb{R}^3\) ⋮ Four end solutions of a free boundary problem ⋮ Some remarks on the structure of finite Morse index solutions to the Allen-Cahn equation in \({\mathbb R}^2\) ⋮ Bifurcation of solutions to the Allen–Cahn equation ⋮ The p-widths of a surface ⋮ Symmetry of some entire solutions to the Allen-Cahn equation in two dimensions ⋮ Solutions of the Allen-Cahn equation which are invariant under screw-motion ⋮ Allen-Cahn min-max on surfaces ⋮ End-to-end construction for the Allen-Cahn equation in the plane ⋮ The space of 4-ended solutions to the Allen-Cahn equation in the plane ⋮ Nondegeneracy and the Jacobi fields of rotationally symmetric solutions to the Cahn-Hillard equation ⋮ Kink networks for scalar fields in dimension \(1 + 1\) ⋮ Multiple end solutions to the Allen-Cahn equation in \(\mathbb{R}^2\) ⋮ Nondegeneracy of the saddle solution of the Allen-Cahn equation ⋮ Singly Periodic Solutions of the Allen-Cahn Equation and the Toda Lattice ⋮ Multiple-end solutions to the Allen-Cahn equation in \(\mathbb R^2\) ⋮ Second order estimate on transition layers
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