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Tangent lines of contact for the infinity Laplacian

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Publication:1763122
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DOI10.1007/s00526-003-0258-1zbMath1161.35402OpenAlexW1992844000MaRDI QIDQ1763122

Yifeng Yu

Publication date: 21 February 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-003-0258-1



Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Continuation and prolongation of solutions to PDEs (35B60)




Cites Work

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  • Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
  • Extension of functions satisfying Lipschitz conditions
  • On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)
  • A tour of the theory of absolutely minimizing functions
  • Optimal Lipschitz extensions and the infinity Laplacian


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