Abstract:
Results on the blow-up of nontrivial nonnegative solutions for several classes of nonlinear partial differential inequalities with singularities on unbounded sets are obtained.
This work was supported by the Russian Foundation for Basic Research (grants no. 13-01-12460-ofi-m and no. 14-01-00736) and by the program "Leading Scientific Schools" (grant no. NSh-4479.2014.1).
Citation:
E. I. Galakhov, O. A. Salieva, “Blow-Up of Solutions of Some Nonlinear Inequalities with Singularities on Unbounded Sets”, Mat. Zametki, 98:2 (2015), 187–195; Math. Notes, 98:2 (2015), 222–229
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Linking options:
https://www.mathnet.ru/eng/mzm10622
https://doi.org/10.4213/mzm10622
https://www.mathnet.ru/eng/mzm/v98/i2/p187
This publication is cited in the following 16 articles:
A. A. Kon'kov, A. E. Shishkov, “On global solutions of second-order quasilinear elliptic inequalities”, Math. Notes, 116:5 (2024), 1014–1019
W. E. Admasu, E. I. Galakhov, “Conditions for absence of solutions to some higher order elliptic inequalities with singular coefficients in Rn”, Ufa Math. J., 15:2 (2023), 3–8
V. E. Admasu, E. I. Galakhov, O. A. Salieva, “Nonexistence of Nontrivial Weak Solutions of Some Nonlinear Inequalities with Gradient Nonlinearity”, J Math Sci, 277:6 (2023), 829
V. E. Admasu, E. I. Galakhov, O. A. Salieva, “Otsutstvie netrivialnykh slabykh reshenii nekotorykh nelineinykh neravenstv s gradientnoi nelineinostyu”, Differentsialnye uravneniya s chastnymi proizvodnymi, SMFN, 67, no. 1, Rossiiskii universitet druzhby narodov, M., 2021, 1–13
W. E. Admasu, E. I. Galakhov, O. A. Salieva, “Nonexistence of nontrivial weak solutions of some nonlinear inequalities with integer power of the Laplacian”, Eurasian Math. J., 12:3 (2021), 9–18
Xiaohong Li, Haitao Wan, X. Li, “Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets”, Math. Notes, 107:1 (2020), 121–128
E. I. Galakhov, O. A. Salieva, “Unsolvability conditions for some inequalities and systems with functional parameters and singular coefficients on boundary”, Ufa Math. J., 10:1 (2018), 14–24
E. Galakhov, O. Salieva, “On nonexistence of solutions to some nonlinear functional differential inequalities”, Differential and Difference Equations With Applications, Springer Proceedings in Mathematics & Statistics, 230, eds. S. Pinelas, T. Caraballo, P. Kloeden, J. Graef, Springer, 2018, 105–118
O. A. Salieva, “On the Nonexistence of Solutions of Some Nonlinear Inequalities with Nonintegral Powers of the Laplace Operator”, Math. Notes, 101:4 (2017), 699–703
E. I. Galakhov, O. A. Salieva, “Blow-up of solutions of some nonlinear inequalities in unbounded domains”, Comput. Math. Math. Phys., 57:3 (2017), 464–475
O. Salieva, “On nonexistence of solutions to some nonlinear parabolic inequalities”, Commun. Pure Appl. Anal, 16:3 (2017), 843–853
L. Uvarova, O. Salieva, E. Galakhov, “Nonexistence of solutions to some inequalities and systems with singular coefficients on the boundary”, Electron. J. Differential Equations, 2017, 30, 10 pp.
O. Salieva, “On nonexistence of solutions to some nonlinear inequalities with transformed argument”, Electron. J. Qual. Theory Differ., 2017, no. 3, 1–13
E. Galakhov, O. Salieva, “Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian”, Proceedings of Equadiff 2017 Conference, eds. K. Mikula, D. Sevcovic, J. Urban, Spektrum Stu Publishing, 2017, 157–162
O. A. Salieva, “On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain”, Eurasian Math. J., 8:4 (2017), 74–83
O. A. Salieva, “Absence of solutions to certain nonlinear inequalities with transformed arguments”, J. Math. Sci. (N. Y.), 245:1 (2020), 98–109
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