Keller–Osserman Phenomena for Kardar–Parisi–Zhang-Type Inequalities

Andrey B. Muravnik ()
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Andrey B. Muravnik: Nikol’skii Mathematical Institute, Peoples Friendship University of Russia, Miklukho–Maklaya ul. 6, 117198 Moscow, Russia

Mathematics, 2023, vol. 11, issue 17, 1-7

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 for the noncoercive case, which had been previously established by the same author.

Keywords: coercive quasilinear inequalities; KPZ nonlinearities; blow-up (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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