Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian
Galakhov, Evgeny; Salieva, Olga
- Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 157-162
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topGalakhov, Evgeny, and Salieva, Olga. "Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 157-162. <http://eudml.org/doc/294884>.
@inProceedings{Galakhov2017,
abstract = {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.},
author = {Galakhov, Evgeny, Salieva, Olga},
booktitle = {Proceedings of Equadiff 14},
keywords = {Nonexistence, nonlinear inequalities, fractional Laplacian},
location = {Bratislava},
pages = {157-162},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian},
url = {http://eudml.org/doc/294884},
year = {2017},
}
TY - CLSWK
AU - Galakhov, Evgeny
AU - Salieva, Olga
TI - Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 157
EP - 162
AB - 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.
KW - Nonexistence, nonlinear inequalities, fractional Laplacian
UR - http://eudml.org/doc/294884
ER -
References
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- 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. MR3079950
- Kwas̀nicki, M., Ten equivalent definitions of the fractional Laplace operator, , Frac. Calc. Appl.Anal., 20 (2017), pp. 7–51. MR3613319
- 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. MR1879326
- Pohozaev, S., Essentially nonlinear capacities induced by differential operators, , Dokl. RAN, 357(1997), pp. 592-594. MR1608995
- Salieva, O., Nonexistence of solutions of some nonlinear inequalities with fractional powers of the Laplace operator, , Math. Notes, 101 (2017), pp. 699–703. MR3629048
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