Аннотация:
We prove various Liouville theorems for integral and differential inequalities on the whole RN. 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.
Образец цитирования:
G. Caristi, L. D'Ambrosio, E. Mitidieri, “Liouville Theorems for Some Nonlinear Inequalities”, Теория функций и нелинейные уравнения в частных производных, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Станислава Ивановича Похожаева, Труды МИАН, 260, МАИК «Наука/Интерпериодика», М., 2008, 97–118; Proc. Steklov Inst. Math., 260 (2008), 90–111
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Эта публикация цитируется в следующих 35 статьяx:
Liguang Liu, Yuhua Sun, Jie Xiao, “Quasilinear Laplace equations and inequalities with fractional orders”, Math. Ann., 388:1 (2024), 1
Mohamed Jleli, Bessem Samet, “Nonlinear Liouville-type theorem for a differential inequality involving Dunkl-Baouendi-Grushin operator”, DCDS-S, 2024
Lorenzo D'Ambrosio, Marius Ghergu, “Representation formulae for nonhomogeneous differential operators and applications to PDEs”, Journal of Differential Equations, 317 (2022), 706
Marius Ghergu, SpringerBriefs in Mathematics, Partial Differential Inequalities with Nonlinear Convolution Terms, 2022, 1
Marius Ghergu, SpringerBriefs in Mathematics, Partial Differential Inequalities with Nonlinear Convolution Terms, 2022, 57
Abbondanza B., Biagi S., “Riesz-Type Representation Formulas For Subharmonic Functions in Sub-Riemannian Settings”, Commun. Pure Appl. Anal, 20:9 (2021), 3143–3174
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Ghergu M., Karageorgis P., Singh G., “Quasilinear Elliptic Inequalities With Hardy Potential and Nonlocal Terms”, Proc. R. Soc. Edinb. Sect. A-Math., 151:3 (2021), PII S0308210520000505, 1075–1093
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