Displaying similar documents to “Restriction and decay for flat hypersurfaces.”

Improved estimates for the Ginzburg-Landau equation : the elliptic case

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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 G L -energy E ε and the parameter ε . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.

Solutions for Toda systems on Riemann surfaces

Jiayu Li, Yuxiang Li (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In this paper we study the solutions of Toda systems on Riemann surface in the critical case, proving a sufficient condition for existence.