JournalsaihpcVol. 27, No. 5pp. 1179–1188

Singular solution to Special Lagrangian Equations

  • Nikolai Nadirashvili

    LATP, CMI, 39, rue F. Joliot-Curie, 13453 Marseille, France

  • Serge Vlăduţ

    IML, Luminy, case 907, 13288 Marseille Cedex, France
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Abstract

We prove the existence of non-smooth solutions to three-dimensional Special Lagrangian Equations in the non-convex case.

Résumé

Nous démontrons l'existence de solutions singulières d'équations speciales lagrangiennes en dimension trois, dans le cas non convexe.

Cite this article

Nikolai Nadirashvili, Serge Vlăduţ, Singular solution to Special Lagrangian Equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 5, pp. 1179–1188

DOI 10.1016/J.ANIHPC.2010.05.001