Existence of Entire Large Positive Solutions of Semilinear Elliptic Systems

By Alan V. Lair, A. Wood. 2000

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Singular phenomena in nonlinear elliptic problems. From blow-up boundary solutions to equations with singular nonlinearities (2006, methodology): “The case of pure powers in the non-linearities was treated by Lair and Shaker in [65].”
Entire solutions blowing up at infinity for semilinear elliptic systems (2002, methodology): “The case of pure powers in the non-linearities was treated by Lair and Shaker in [4].”
Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems (2003, methodology): “Whenm= n= 2, f = −p(|x|)vα , g = −q(|x|)uβ , system (1) becomes{ ∆u= p(|x|)vα, x ∈ RN, ∆v = q(|x|)uβ, x ∈ RN, (2) for which existence results for entire explosive positive solutions can be found in cent paper by Lair and Wood [8].”