Nonclassical Solutions of Fully Nonlinear Elliptic Equations

Geometric and Functional Analysis volume 17, pages 1283–1296 (2007)Cite this article

Abstract.

We prove the existence of non-smooth solutions to fully non-linear elliptic equations.

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Author information

Affiliations

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

    Nikolai Nadirashvili

  2. IML, Luminy, case 907, 13288, Marseille Cedex, France

    Serge Vlăduţ

Authors
  1. Nikolai Nadirashvili
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  2. Serge Vlăduţ
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Corresponding author

Correspondence to Nikolai Nadirashvili.

Additional information

Received: June 2006, Accepted: January 2007

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Cite this article

Nadirashvili, N., Vlăduţ, S. Nonclassical Solutions of Fully Nonlinear Elliptic Equations. GAFA Geom. funct. anal. 17, 1283–1296 (2007). https://doi.org/10.1007/s00039-007-0626-7

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Keywords and phrases:

  • Fully nonlinear equations
  • viscosity solutions
  • Dirichlet problem

AMS Mathematics Subject Classification:

  • 35J60