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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:
 35J60 Nonlinear elliptic equations 35B25 Singular perturbations (PDE) 35B50 Maximum principles (PDE)
Full Text:
##### References:
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