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Zbl 1121.35052
Bethuel, F.; Orlandi, Giandomenico; Smets, Didier
Improved estimates for the Ginzburg-Landau equation: the elliptic case. (English)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 2, 319-355 (2005). ISSN 0391-173X; ISSN 2036-2145/e

From the abstract: We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation and which we bound in terms of the $GL$-energy $E_\varepsilon$ and the parameter $\varepsilon$. These estimates are local in nature, and in particular independent of any boundary conditions. Most of them improve ad extend earlier results on the subject.
[Giuseppe Di Fazio (Catania)]

MSC 2000:: *35J60 Nonlinear elliptic equations
35B35 Stability of solutions of PDE
35B45 A priori estimates
35J20 Second order elliptic equations, variational methods
46E35 Sobolev spaces and generalizations
47J30 Variational methods
58E50 Appl. of variational methods in infinite-dimensional spaces

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