A priori regularity for weak solutions of some nonlinear elliptic equations

Frank Pacard

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Displaying similar documents to “A priori regularity for weak solutions of some nonlinear elliptic equations”

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Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field

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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.

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

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets (2005)

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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.

Displaying similar documents to “A priori regularity for weak solutions of some nonlinear elliptic equations”

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Regularity properties of solutions of elliptic equations in $R^{2}$ in limit cases