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# Explosive solutions of semilinear elliptic systems with gradient term

@inproceedings{Ghergu2004ExplosiveSO, title={Explosive solutions of semilinear elliptic systems with gradient term}, author={Marius Ghergu and Vicenţiu R ădulescu}, year={2004} }

- Published 2004

We study the existence of boundary blow-up solutions to the nonlinear elliptic system ∆u + |∇u| = p(|x|)f(v), ∆v + |∇v| = q(|x|)g(u) in Ω. Here Ω is either a bounded domain in R or it denotes the whole space. The nonlinearities f and g are positive and continuous, while the nonnegative potentials p and q are continuous and satisfy appropriate growth conditions at infinity. We show that boundary blow-up positive solutions fail to exist if f and g are sublinear. This result holds both if Ω is… CONTINUE READING