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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 8, Pages 1377–1382
DOI: https://doi.org/10.31857/S0044466920080086
(Mi zvmmf11118)
 

Nonexistence of sign-changing solutions for some elliptic inequalities in bounded domains

E. I. Galakhova, O. A. Salievab

a RUDN University, Moscow, 117198 Russia
b Moscow State Technological University "Stankin", Moscow, 127994 Russia
References:
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.
Key words: nonlinear elliptic inequalities, positive and negative parts, nontrivial solutions, test functions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5-100
This work was supported by the RUDN Program “5-100.”
Received: 15.02.2020
Revised: 15.02.2020
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 8, Pages 1331–1336
DOI: https://doi.org/10.1134/S0965542520080084
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: E. I. Galakhov, O. A. Salieva, “Nonexistence of sign-changing solutions for some elliptic inequalities in bounded domains”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1377–1382; Comput. Math. Math. Phys., 60:8 (2020), 1331–1336
Citation in format AMSBIB
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\pages 1377--1382
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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