Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials
The paper is devoted to a study of the asymptotic behaviour of positive integrable solutions to Lane-Emden type equations in \(\mathbb R^n\), \(n \geq 3\). Of particular interest are systems involving Wolff potentials. The asymptotics of the solutions to such systems are already known in the case when the solutions have a radial symmetry [the second author and \textit{C. Li}, J. Differ. Equations 252, No. 3, 2739--2758 (2012; Zbl 1235.35106)]. Now these results are extended to the case where no such structure exists in the solutions. It turns out that the behaviour is more complicated in this case.
scientific article; zbMATH DE number 6126532
scientific article