Displaying similar documents to “New estimates for div-curl products and very weak solutions of PDEs”

Quasiharmonic fields

Tadeusz Iwaniec, Carlo Sbordone (2001)

Annales de l'I.H.P. Analyse non linéaire

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Liouville type theorems for φ-subharmonic functions.

Marco Rigoli, Alberto G. Setti (2001)

Revista Matemática Iberoamericana

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In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.

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.

Regularity properties of solutions of elliptic equations in R 2 in limit cases

Angela Alberico, Vincenzo Ferone (1995)

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 R 2 is studied. Regularity properties of the solutions are proved, when the data are L 1 -functions or Radon measures. In particular sharp assumptions which guarantee the continuity of solutions are given.