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Ground-state solutions for a class of \(N\)-Laplacian equation with critical growth. (English) Zbl 1250.35111
Summary: We investigate the existence of ground-state solutions for a class of \(N\)-Laplacian equation with critical growth in \(\mathbb R^N\). Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.
MSC:
35J62 Quasilinear elliptic equations
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