On the Nonexistence of Solutions of Some Nonlinear Inequalities with Nonintegral Powers of the Laplace Operator
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 588-593.

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Some results about the nonexistence of nontrivial nonnegative solutions for some classes of nonlinear partial differential inequalities containing nonintegral powers of the Laplace operator are obtained.
Keywords: nonexistence of solutions, nonlinear inequalities, nonintegral powers of the Laplace operator.
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O. A. Salieva. On the Nonexistence of Solutions of Some Nonlinear Inequalities with Nonintegral Powers of the Laplace Operator. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 588-593. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a8/

[1] C. Azizieh, P. Clement, E. Mitidieri, “Existence and apriori estimates for positive solutions of $p$-Laplace systems”, J. Differential Equations, 184:2 (2002), 422–442 | DOI | MR | Zbl

[2] P. Clement, R. Manasevich, E. Mitidieri, “Positive solutions for a quasilinear system via blow-up”, Comm. Partial Differential Equations, 18:12 (1993), 2071–2106 | DOI | MR | Zbl

[3] S. I. Pokhozhaev, “Ob otsutstvii globalnykh reshenii zadachi Koshi dlya uravneniya Kortevega–de Friza”, Funkts. analiz i ego pril., 46:4 (2012), 51–60 | DOI | MR | Zbl

[4] S. I. Pokhozhaev, “Ob otsutstvii globalnykh reshenii uravneniya Gamiltona–Yakobi”, Differents. uravneniya, 44:10 (2008), 1405–1415 | MR

[5] E. I. Galakhov, O. A. Salieva, “Razrushenie reshenii nekotorykh nelineinykh neravenstv s osobennostyami na neogranichennykh mnozhestvakh”, Matem. zametki, 98:2 (2015), 187–195 | DOI | MR | Zbl

[6] E. Mitidieri, S. I. Pokhozhaev, “Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh”, Tr. MIAN, 234, Nauka, M., 2001, 3–383 | MR | Zbl

[7] E. Galakhov, O. Salieva, “On blow-up of solutions to differential inequalities with singularities on unbounded sets”, J. Math. Anal. Appl., 408:1 (2013), 102–113 | DOI | MR | Zbl

[8] S. I. Pokhozhaev, “Suschestvenno nelineinye emkosti, porozhdennye differentsialnymi operatorami”, Dokl. AN, 357:5 (1997), 592–594 | MR | Zbl