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• W3008363931 abstract "Abstract We are concerned with the following quasilinear elliptic equation $$begin{array}{} displaystyle -{itDelta} u-{itDelta}(u^{2})u=mu |u|^{q-2}u+|u|^{2cdot 2^*-2}u, uin H_0^1({itOmega}), end{array}$$ (QSE) where Ω ⊂ ℝ N is a bounded domain, N ≥ 3, q N < q < 2 ⋅ 2 ∗ , 2 ∗ = 2 N /( N – 2), q N = 4 for N ≥ 6 and q N = $begin{array}{} frac{2(N+2)}{N-2} end{array}$ for N = 3, 4, 5, and μ is a positive constant. By employing the Nehari manifold and the Lusternik-Schnirelman category theory, we prove that there exists μ * > 0 such that (QSE) admits at least cat Ω ( Ω ) positive solutions when μ ∈ (0, μ * )." @default.
• W3008363931 created "2020-03-06" @default.
• W3008363931 creator A5030053028 @default.
• W3008363931 creator A5064409760 @default.
• W3008363931 date "2020-02-27" @default.
• W3008363931 modified "2023-10-16" @default.
• W3008363931 title "Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity" @default.
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• W3008363931 doi "https://doi.org/10.1515/anona-2020-0058" @default.
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