On the maximum principle for viscosity solutions of fully nonlinear elliptic equations in general domain

Authors

  • I. Capuzzo Dolcetta Università di Roma ”La Sapienza”
  • A. Vitolo Università di Salerno

Keywords:

Fully nonlinear elliptic equations, Maximum principle, Viscosity solutions

Abstract

We analyze the validity of the Maximum Principle for viscosity solutions of fully nonlinear second order elliptic equations in general unbounded domains under suitable structure conditions on the equation allowing notably quadratic growth in the gradient terms.

Author Biographies

  • I. Capuzzo Dolcetta, Università di Roma ”La Sapienza”
    Dipartimento di Matematica,
    P.le A.Moro 2, I-00185 Roma Italy
  • A. Vitolo, Università di Salerno
    Dipartimento di Matematica e Informatica,
    P. Grahamstown, I-84084 Fisciano (SA) Italy

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Published

2007-12-06

Issue

Vol. 62 No. 2 (2007)

Section

Articoli

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