On the Liouville property for fully nonlinear equations
Alessandra Cutrı̀
Dipartimento di Matematica, Università di Roma, “Tor Vergata” 00133 Roma, ItalyFabiana Leoni
Dipartimento di Matematica, Università di Roma, “La Sapienza” 00185 Roma, Italy
![On the Liouville property for fully nonlinear equations
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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