Finite energy solutions, quantization effects and Liouville-type results for a variant of the Ginzburg-Landau systems in \(\mathbb R^K\).
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Publication:1854050
zbMath1074.35504MaRDI QIDQ1854050
Publication date: 26 January 2003
Published in: Differential and Integral Equations (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (14)
Half-space theorems for the Allen-Cahn equation and related problems ⋮ Two results on entire solutions of Ginzburg-Landau system in higher dimensions ⋮ Some remarks related to De Giorgi’s conjecture ⋮ Gradient Lagrangian systems and semilinear PDE ⋮ A relation of the Allen-Cahn equations and the Euler equations and applications of the equipartition ⋮ Two results on the equivariant Ginzburg-Landau vortex in arbitrary dimension ⋮ A Liouville type result and quantization effects on the system \(-\Delta u = u J'(1-|u|^2)\) for a potential convex near zero ⋮ Logarithmic Gross-Pitaevskii equation ⋮ Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity ⋮ Monotonicity and rigidity of solutions to some elliptic systems with uniform limits ⋮ One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\) ⋮ Liouville theorems for elliptic systems and applications ⋮ Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional ⋮ Radial and cylindrical symmetry of solutions to the Cahn-Hilliard equation
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