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Regularity estimates for fully non linear elliptic equations which are asymptotically convex

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Contributions to Nonlinear Elliptic Equations and Systems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 86))

Abstract

In this paper we deliver improved C 1, α regularity estimates for solutions to fully nonlinear equations F(D 2 u) = 0, based on asymptotic properties inherited from its recession function \(F^{\star }(M):=\lim \limits _{\mu \rightarrow 0}\mu F(\mu ^{-1}M)\).

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    Luis Silvestre

  2. Universidade Federal do Ceará, CEP 60455-760, Fortaleza, Ceará, Brazil

    Eduardo V. Teixeira

Authors
  1. Luis Silvestre
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  2. Eduardo V. Teixeira
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Corresponding author

Correspondence to Eduardo V. Teixeira .

Editor information

Editors and Affiliations

  1. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, São Paulo, Brazil

    Alexandre Nolasco de Carvalho

  2. Dipartimento di Matematica, Università degli Studi di Milano, Lombardia, Milano, Italy

    Bernhard Ruf

  3. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, São Paulo, Brazil

    Ederson Moreira dos Santos

  4. Département de Mathématique. CP 214, Université Libre de Bruxelles, Brussels, Belgium

    Jean-Pierre Gossez

  5. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, São Paulo, Brazil

    Sergio Henrique Monari Soares

  6. Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions, Paris, Paris, France

    Thierry Cazenave

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Silvestre, L., Teixeira, E.V. (2015). Regularity estimates for fully non linear elliptic equations which are asymptotically convex. In: Nolasco de Carvalho, A., Ruf, B., Moreira dos Santos, E., Gossez, JP., Monari Soares, S., Cazenave, T. (eds) Contributions to Nonlinear Elliptic Equations and Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 86. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-19902-3_25

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