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On the Absence of Solutions of Differential Inequalities with the \(\infty \)-Laplacian

  • PARTIAL DIFFERENTIAL EQUATIONS
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Abstract

For differential inequalities with the \(\infty \)-Laplacian in the principal part, we find conditions for the absence of solutions in unbounded domains. Examples are given that demonstrate the accuracy of these conditions.

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Funding

This work was financially supported by the Russian Science Foundation, project no. 20-11-20272 as well as by the Strategic Academic Leadership Program of the Peoples’ Friendship University of Russia.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. A. Kon’kov

  2. RUDN University, Moscow, 117198, Russia

    A. A. Kon’kov

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  1. A. A. Kon’kov
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Correspondence to A. A. Kon’kov.

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Translated by V. Potapchouck

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Kon’kov, A.A. On the Absence of Solutions of Differential Inequalities with the \(\infty \)-Laplacian. Diff Equat 59, 243–259 (2023). https://doi.org/10.1134/S0012266123020088

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  • DOI: https://doi.org/10.1134/S0012266123020088

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