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Article

Galakhov, Evgeny ; Salieva, Olga
Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 157-162
MSC: 35J48, 35J61, 35S05
Keywords:
Nonexistence, nonlinear inequalities, fractional Laplacian
Summary:
We obtain sufficient conditions for nonexistence of nontrivial solutions for some classes of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator.
References:
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[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
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