| Title:
|
Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian (English) |
| Author:
|
Galakhov, Evgeny |
| Author:
|
Salieva, Olga |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
157-162 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Nonexistence, nonlinear inequalities, fractional Laplacian |
| MSC:
|
35J48 |
| MSC:
|
35J61 |
| MSC:
|
35S05 |
| . |
| Date available:
|
2019-09-27T07:51:21Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703030 |
| . |
| Reference:
|
[1] Galakhov, E., Salieva, O.: Blow-up for some nonlinear inequalities with singularities on unbounded sets., Math. Notes, 98 (2015), pp. 222-229. MR 3438473, 10.1134/S0001434615070238 |
| Reference:
|
[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. MR 3079950, 10.1016/j.jmaa.2013.05.069 |
| Reference:
|
[3] Kwas̀nicki, M.: Ten equivalent definitions of the fractional Laplace operator., Frac. Calc. Appl.Anal., 20 (2017), pp. 7–51. MR 3613319 |
| Reference:
|
[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 |
| Reference:
|
[5] Pohozaev, S.: Essentially nonlinear capacities induced by differential operators., Dokl. RAN, 357(1997), pp. 592-594. MR 1608995 |
| Reference:
|
[6] Salieva, O.: Nonexistence of solutions of some nonlinear inequalities with fractional powers of the Laplace operator., Math. Notes, 101 (2017), pp. 699–703. MR 3629048, 10.1134/S0001434617030282 |
| . |
