JournalsaihpcVol. 17, No. 2pp. 219–245

On the Liouville property for fully nonlinear equations

  • Alessandra Cutrı̀

    Dipartimento di Matematica, Università di Roma, “Tor Vergata” 00133 Roma, Italy

  • Fabiana Leoni

    Dipartimento di Matematica, Università di Roma, “La Sapienza” 00185 Roma, Italy
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Abstract

In this paper we prove some Liouville theorems for nonnegative viscosity supersolutions of a class of fully nonlinear uniformly elliptic problems in ℝN.

Résumé

Dans ce travail nous démontrons des théorèmes de Liouville pour des sur-solutions de viscosité positives de problèmes uniformement elliptique complètement non linéaires dans ℝN.

Cite this article

Alessandra Cutrı̀, Fabiana Leoni, On the Liouville property for fully nonlinear equations . Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 2, pp. 219–245

DOI 10.1016/S0294-1449(00)00109-8