Nonexistence of Solutions to Systems of Higher-order Semilinear Inequalities in Cone-like Domains
| dc.contributor.author | El Hamidi, Abdallah | |
| dc.contributor.author | Laptev, Gennady G. | |
| dc.date.accessioned | 2020-08-21T21:04:14Z | |
| dc.date.available | 2020-08-21T21:04:14Z | |
| dc.date.issued | 2002-11-14 | |
| dc.description.abstract | In this paper, we obtain nonexistence results for global solutions to the system of higher-order semilinear partial differential inequalities ∂kui/ ∂tk - ∆(αi(x, t)ui(x, t)) ≥ tγi+1|x|σi+1|ui+1 (x, t)|Pi + 1, 1 ≤ i ≤ n, un+1 = u1, in cones and cone-like domains in ℝN, t > 0. Our results apply to nonnegative solutions and to solutions which change sign. Moreover, we provide a general formula of the critical exponent corresponding to this system. Our proofs are based on the test function method, developed by Mitidieri and Pohozaev. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | El Hamidi, A., & Laptev, G. G. (2002). Nonexistence of solutions to systems of higher-order semilinear inequalities in cone-like domains. <i>Electronic Journal of Differential Equations, 2002</i>(97), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12454 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Nonexistence | |
| dc.subject | Blow-up | |
| dc.subject | Higher-order differential inequalities | |
| dc.subject | Critical exponent | |
| dc.title | Nonexistence of Solutions to Systems of Higher-order Semilinear Inequalities in Cone-like Domains | |
| dc.type | Article |