Geodesic
Liouville Theorems for Some Nonlinear Inequalities
Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 97-118

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We prove various Liouville theorems for integral and differential inequalities on the whole $\mathbb R^N$. The main tools we use throughout this paper are representation formulae for linear inequalities, the nonlinear capacity method and the weak form of Harnack's inequality. 
@article{TRSPY_2008_260_a6,
     author = {G. Caristi and L. D'Ambrosio and E. Mitidieri},
     title = {Liouville {Theorems} for {Some} {Nonlinear} {Inequalities}},
     journal = {Informatics and Automation},
     pages = {97--118},
     publisher = {mathdoc},
     volume = {260},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a6/}
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G. Caristi; L. D'Ambrosio; E. Mitidieri. Liouville Theorems for Some Nonlinear Inequalities. Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 97-118. http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a6/