Absence of Solutions for Some Nonhomogeneous Elliptic Inequalities
- 作者: Galakhov E.I.1, Salieva O.A.1
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隶属关系:
- Peoples’ Friendship University of Russia (RUDN University)
- 期: 卷 65, 编号 4 (2019): Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
- 页面: 605-612
- 栏目: New Results
- URL: https://journals.rcsi.science/2413-3639/article/view/347197
- DOI: https://doi.org/10.22363/2413-3639-2019-65-4-605-612
- ID: 347197
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详细
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).
作者简介
E. Galakhov
Peoples’ Friendship University of Russia (RUDN University)
编辑信件的主要联系方式.
Email: galakhov@rambler.ru
Moscow, Russia
O. Salieva
Peoples’ Friendship University of Russia (RUDN University)
Email: olga.a.salieva@gmail.com
Moscow, Russia
参考
- Митидиери Э., Похожаев С.И. Теоремы Лиувилля для некоторых классов нелинейных нелокальных задач// Тр. МИАН. - 2005. -248. - С. 158-178.
- Похожаев С.И. Существенно нелинейные емкости, порожденные дифференциальными операторами// Докл. РАН. - 1997. -357. - С. 592-594.
- Galaktionov V., Mitidieri E., Pohozaev S. Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrodinger equations. - Boca Raton: Chapman and Hall/CRC, 2014.¨
- Galakhov E., Salieva O. On blow-up of solutions to differential inequalities with singularities on unbounded sets// J. Math. Anal. Appl. - 2013. -408. - С. 102-113.
- Salieva O. On nonexistence of solutions to some nonlinear parabolic inequalities// Commun. Pure Appl. Anal. - 2017. -16, № 3. - С. 843-853.
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