Nonexistence of solutions to systems of higher-order semilinear inequalities in cone-like domains

In this paper, we obtain nonexistence results for global solutions to the system of higher-order semilinear partial differential inequalities $$displaylines{ frac{partial^k u_i}{partial t^k}-Delta (a_i (x,t) u_i (x,t)) geq t^{gamma_{i+1}}|x|^{sigma_{i+1}} |u_{i+1} (x,t) |^{p_{i+1}}, quad 1 leq i leq...

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Bibliographic Details
Main Authors: Abdallah El Hamidi, Gennady G. Laptev
Format: Article
Language:English
Published: Texas State University 2002-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/97/abstr.html