Second-order boundary estimates for large positive solutions to an elliptic system of competitive type
Keywords
Elliptic system, competitive type, second-order asymptotic behaviour, iteration methodAbstract
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.References
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