A priori estimates for a semilinear elliptic system without variational structure and their applications

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Lane–Emden systems with negative exponents (2010, unknown): “, [1, 3, 6, 7, 16, 18, 19, 20, 21, 22, 23] and the references therein).”
Solving coupled Lane–Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method (2013, background): “Systems of Lane–Emden equations arise in the modelling of several physical phenomena, such as pattern formation, population evolution, chemical reactions, and so on [11,12,17,25].”
Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems (2007, methodology): “…seminal paper [17], Liouville-type theorems have been widely used, in conjunction with rescaling arguments, in derivation of pointwise a priori estimates of solutions of boundary value problems (see [12] for a survey, for more recent results and references see e.g. [25] [15] [7] [31] [14] [32]).”