El Hamidi, AbdallahLaptev, Gennady G.2020-08-212020-08-212002-11-14El 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. 1-19.1072-6691https://hdl.handle.net/10877/12454In 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.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalNonexistenceBlow-upHigher-order differential inequalitiesCritical exponentArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.