Liouville theorems for some nonlinear inequalities |
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| Authors: | G. Caristi L. D’Ambrosio E. Mitidieri |
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| Affiliation: | (1) Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, via A. Valerio, 12/1, I-34127 Trieste, Italy;(2) Dipartimento di Matematica, Università degli Studi di Bari, via E. Orabona, 4, I-70125 Bari, Italy |
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| Abstract: | We prove various Liouville theorems for integral and differential inequalities on the whole ℝR 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. This paper is dedicated to Professor Stanislav I. Pohozaev with admiration and friendship |
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