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**Second-order boundary estimates for large positive solutions to an elliptic system of competitive type.**
*(English)*
Zbl 1479.35341

Summary: In this paper, we study the second-order boundary asymptotic behaviour for large positive solutions to an elliptic system of competitive type. First, we derive a second-order estimate to a related single weighted equation with boundary blow-up data. Then, by relaxing the system and iterating the estimate of the single equation, we establish second-order estimates of the solutions.

### MSC:

35J47 | Second-order elliptic systems |

35J91 | Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian |

35B40 | Asymptotic behavior of solutions to PDEs |

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\textit{H. Jia} et al., Topol. Methods Nonlinear Anal. 57, No. 2, 695--708 (2021; Zbl 1479.35341)

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### References:

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