ZEROS OF WAVE FUNCTIONS IN GINZBURG–LANDAU MODEL FOR SMALL ∊

DOI10.1142/S0219199701000354zbMath0992.35030OpenAlexW2007268773MaRDI QIDQ2732613

Jie Qing

Publication date: 5 September 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199701000354

zbMATH Keywords

energy functionaluniquenessminimization problemenergy lower bound estimate

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence of solutions for minimax problems (49J35) PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation ⋮ Coercivity for travelling waves in the Gross-Pitaevskii equation in \(\mathbb{R}^2\) for small speed

Cites Work

• Renormalized energy for Ginzburg-Landau vortices on closed surfaces
• On the Zeros of Solutions to Ginzburg–Landau Type Systems
• Some dynamical properties of Ginzburg-Landau vortices

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