Abstract
We study the behavior near the origin of \(C^2\) positive solutions \(u(x)\) and \(v(x)\) of the system
where \(\lambda ,\sigma \ge 0\) and \(\alpha , \beta \in (0,n)\). A by-product of our methods used to study these solutions will be results on the behavior near the origin of \(L^1(B_1(0))\) solutions \(f\) and \(g\) of the system
where \(\lambda ,\sigma \ge 0\) and \(\alpha , \beta \in (2,n+2)\).

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The authors would like to thank Stephen J. Gardiner for helpful discussions.
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Communicated by P. Rabinowitz.
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Ghergu, M., Taliaferro, S.D. Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities. Calc. Var. 54, 1243–1273 (2015). https://doi.org/10.1007/s00526-015-0824-3
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DOI: https://doi.org/10.1007/s00526-015-0824-3