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Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials. (English) Zbl 1260.45004

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 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.

MSC:

45G15 Systems of nonlinear integral equations
45M20 Positive solutions of integral equations
35J48 Higher-order elliptic systems
45M05 Asymptotics of solutions to integral equations

Citations:

Zbl 1235.35106
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Full Text: DOI

References:

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