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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
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.
Received: 15.02.2020 Revised: 15.02.2020 Accepted: 09.04.2020
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
Linking options:
https://www.mathnet.ru/eng/zvmmf11118 https://www.mathnet.ru/eng/zvmmf/v60/i8/p1377
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Abstract page: | 69 | References: | 11 |
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