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Large solutions for an elliptic system of competitive type: existence, uniqueness and asymptotic behavior. (English) Zbl 1167.35373
Summary: This paper deals with the existence, uniqueness and asymptotic behavior of boundary blow-up solutions for an elliptic system of competitive type, where the weight functions $a(x), b(x)$ vanish on the boundary of the underlying domain at different rates according to the point of the boundary. The proof relies on subsolutions and supersolutions, and the localization method.

MSC:
35J60Nonlinear elliptic equations
35B25Singular perturbations (PDE)
35B50Maximum principles (PDE)
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Full Text: DOI
References:
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