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Counterexamples to the local solvability of Monge-Ampère equations in the plane

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Abstract

In this paper, we present C examples of degenerate hyperbolic and mixed type Monge-Ampère equations in the plane, which do not admit a local C3 solution.

Original languageEnglish
Pages (from-to)665-674
Number of pages10
JournalCommunications in Partial Differential Equations
Volume32
Issue number4
DOIs
StatePublished - Apr 2007

Keywords

  • Local solvability
  • Monge-Ampère equations

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