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Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities. (English) Zbl 1167.35356

Summary: We consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

MSC:

35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35J65 Nonlinear boundary value problems for linear elliptic equations
35J50 Variational methods for elliptic systems
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