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Existence of nontrivial solutions for a critical perturbed quasilinear elliptic system - MaRDI portal

Existence of nontrivial solutions for a critical perturbed quasilinear elliptic system (Q2256683)

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Existence of nontrivial solutions for a critical perturbed quasilinear elliptic system
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    Existence of nontrivial solutions for a critical perturbed quasilinear elliptic system (English)
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    20 February 2015
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    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.
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    perturbed quasilinear elliptic system
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    \(p\)-Laplacian
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    variational methods
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