On the Liouville property for fully nonlinear equations 1 This work was partially supported by the T

By F. Leoni. 2000

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Fundamental solutions of homogeneous fully nonlinear elliptic equations (2009, background): “satisfies the equation the some α > −1 (see [10, 17, 11]).”
Fundamental solutions and liouville type theorems for nonlinear integral operators (2011, methodology): “They were used later by Cutri and Leoni [12] for the study of Liouville type theorems and later for operators involving first order terms by Capuzzo-Dolcetta and Cutri in [9].”
Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle (2010, unknown): “Fully nonlinear inequalities of the form F (D(2)u) ≥ u, where F is an Isaacs operator, were first studied by Cutri and Leoni [17], and later by Felmer and Quaas [21], in the case of a rotationally invariant F and a solution in the whole space (see also Capuzzo-Dolcetta and Cutri [15]).”
Positive radial solutions to a ‘semilinear’ equation involving the Pucci's operator (2004, methodology): “For other Liouville type theorems we refer the reader to the article by Cutri and Leoni [5].”