New inequalities for the jacobian
L. Greco, T. Iwaniec (1994)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “A priori regularity for weak solutions of some nonlinear elliptic equations”
New inequalities for the jacobian
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Regularity properties of solutions of elliptic equations in in limit cases
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Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this paper the Dirichlet problem for a linear elliptic equation in an open, bounded subset of is studied. Regularity properties of the solutions are proved, when the data are -functions or Radon measures. In particular sharp assumptions which guarantee the continuity of solutions are given.
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 -energy and the parameter . 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.