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Absence of Solutions for Some Nonhomogeneous Elliptic Inequalities

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Abstract

By means of the modified method of test functions, we obtain sufficient conditions of absence of nontrivial solutions for some classes of semilinear elliptic inequalities of higher order and quasilinear elliptic inequalities containing nonhomogeneous terms (independent of the unknown function).

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References

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Author information

Authors and Affiliations

  1. Peoples’ Friendship University of Russia (RUDN University), Moscow, Russia

    E. I. Galakhov

  2. Moscow State Technological University “Stankin”, Moscow, Russia

    O. A. Salieva

Authors
  1. E. I. Galakhov
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  2. O. A. Salieva
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Corresponding author

Correspondence to E. I. Galakhov.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 65, No. 4, Proceedings of the S. M. Nikolskii Mathematical Institute of RUDN University, 2019.

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Galakhov, E.I., Salieva, O.A. Absence of Solutions for Some Nonhomogeneous Elliptic Inequalities. J Math Sci 265, 774–780 (2022). https://doi.org/10.1007/s10958-022-06083-5

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  • DOI: https://doi.org/10.1007/s10958-022-06083-5

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