Nonexistence of sign-changing solutions for some elliptic and parabolic inequalities

We establish nonexistence of nontrivial solutions (including sign-changing ones) for some partial differential inequalities of elliptic and parabolic type containing nonlinear terms that depend on the positive and negative part of the sought function in different ways. Systems of elliptic inequalities with similar structure are also considered. The proofs are based on the test function method. © 2020 John Wiley & Sons, Ltd.

Authors
Galakhov E. 1 , Salieva O. 2
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Number of issue
11
Language
English
Pages
6801-6811
Status
Published
Link
External link
DOI
10.1002/mma.6422
Volume
43
Year
2020
Organizations
  • 1 S.M. Nikolskii Mathematical Institute, Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 2 Department of Applied Mathematics, Moscow State Technological University “Stankin”, Moscow, Russian Federation
Keywords
negative part; nonexistence; positive part; sign-changing solutions
Date of creation
02.11.2020
Date of change
03.03.2021
Short link
https://repository.rudn.ru/en/records/article/record/64516/
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