Nonexistence of Sign-Changing Solutions for Some Elliptic Inequalities in Bounded Domains

Abstract: Nonlinear elliptic inequalities in bounded domains and systems of such inequalities involving terms depending differently on the positive and negative parts of the sought function are considered. Sufficient conditions for the nonexistence of nontrivial solutions to the inequalities and systems under study in corresponding functional classes are obtained. © 2020, Pleiades Publishing, Ltd.

Authors
Galakhov E.I. 1 , Salieva O.A. 2
Journal
Computational Mathematics and Mathematical Physics
Number of issue
8
Language
English
Pages
1331-1336
Status
Published
Link
External link
DOI
10.1134/S0965542520080084
Volume
60
Year
2020
Organizations
  • 1 RUDN University, Moscow, 117198, Russian Federation
  • 2 Moscow State Technological University “Stankin”, Moscow, 127994, Russian Federation
Keywords
nonlinear elliptic inequalities; nontrivial solutions; positive and negative parts; test functions
Date of creation
02.11.2020
Date of change
03.03.2021
Short link
https://repository.rudn.ru/en/records/article/record/64486/
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