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Keywords = coercive quasilinear inequalities

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Article
Keller–Osserman Phenomena for Kardar–Parisi–Zhang-Type Inequalities
by Andrey B. Muravnik
Mathematics 2023, 11(17), 3787; https://doi.org/10.3390/math11173787 - 4 Sep 2023
Cited by 1 | Viewed by 1139
Abstract
For coercive quasilinear partial differential inequalities containing nonlinearities of the Kardar–Parisi–Zhang type, we find conditions guaranteeing the absence of global positive solutions. These conditions extend both the classical result of Keller and Osserman and its recent Kon’kov–Shishkov generalization. Additionally, they complement the results [...] Read more.
For coercive quasilinear partial differential inequalities containing nonlinearities of the Kardar–Parisi–Zhang type, we find conditions guaranteeing the absence of global positive solutions. These conditions extend both the classical result of Keller and Osserman and its recent Kon’kov–Shishkov generalization. Additionally, they complement the results for the noncoercive case, which had been previously established by the same author. Full article
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