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Nonexistence, nonlinear inequalities, fractional Laplacian

References:

[1] Galakhov, E., Salieva, O.: **Blow-up for some nonlinear inequalities with singularities on unbounded sets**. Math. Notes, 98 (2015), pp. 222-229. DOI 10.1134/S0001434615070238 | MR 3438473

[2] Galakhov, E., Salieva, O.: **On blow-up of solutions to differential inequalities with singularities on unbounded sets**. J. Math. Anal. Appl., 408 (2013), pp. 102–113. DOI 10.1016/j.jmaa.2013.05.069 | MR 3079950

[3] Kwas̀nicki, M.: **Ten equivalent definitions of the fractional Laplace operator**. Frac. Calc. Appl.Anal., 20 (2017), pp. 7–51. MR 3613319

[4] Mitidieri, E., Pohozaev, S.: **A priori estimates and nonexistence fo solutions of nonlinear partial differential equations and inequalities**. Proc. Steklov Math. Inst., 234 (2001), pp. 3383. MR 1879326

[5] Pohozaev, S.: **Essentially nonlinear capacities induced by differential operators**. Dokl. RAN, 357(1997), pp. 592-594. MR 1608995

[6] Salieva, O.: **Nonexistence of solutions of some nonlinear inequalities with fractional powers of the Laplace operator**. Math. Notes, 101 (2017), pp. 699–703. DOI 10.1134/S0001434617030282 | MR 3629048