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Existence of nontrivial solutions for a critical perturbed quasilinear elliptic system. (English) Zbl 1310.35108

Summary: We consider a perturbed quasilinear elliptic system involving the \(p\)-Laplacian with critical growth terms in \(\mathbb R^N\). Under proper conditions, we establish the existence of nontrivial solutions by using the variational methods.

MSC:

35J50 Variational methods for elliptic systems
35J92 Quasilinear elliptic equations with \(p\)-Laplacian
35J48 Higher-order elliptic systems
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