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Existences and boundary behavior of boundary blow-up solutions to quasilinear elliptic systems with singular weights. (English) Zbl 1175.35041

Summary: Using the method of explosive sub and supper solution, the existence and boundary behavior of positive boundary blow up solutions for some quasilinear elliptic systems with singular weight function are obtained under more extensive conditions.

MSC:

35J46 First-order elliptic systems
35J60 Nonlinear elliptic equations
35J67 Boundary values of solutions to elliptic equations and elliptic systems
35B25 Singular perturbations in context of PDEs
35B50 Maximum principles in context of PDEs
35J50 Variational methods for elliptic systems
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