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Interior regularity for nonlinear equations

  • Luigi Ambrosio
  • Alessandro Carlotto
  • Annalisa Massaccesi
Chapter
Part of the Publications of the Scuola Normale Superiore book series (PSNS, volume 18)

Abstract

So far, we have just dealt with linear problems and the wealth of different situations was only based on the possibility of varying the elliptic operator, the boundary conditions and the number of dimensions involved in the equations. We will see now that Nirenberg’s technique is also particularly appropriate in dealing with nonlinear partial differential equations, as those arising from Euler-Lagrange equations of non-quadratic functionals.

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Copyright information

© Scuola Normale Superiore Pisa 2018

Authors and Affiliations

  • Luigi Ambrosio
    • 1
  • Alessandro Carlotto
    • 2
  • Annalisa Massaccesi
    • 3
  1. 1.Scuola Normale SuperiorePisaItalia
  2. 2.ETHZürichSwitzerland
  3. 3.Università di VeronaVeronaItalia

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