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- W2395458277 abstract "In this work, we study the existence of nonnegative and nontrivial solutions for the quasilinear Schrodinger equation $$- {Delta _N}u + b{left| u right|^{N - 2}}u - {Delta _N}left( {{u^2}} right)u = hleft( u right)$$ , x ∈ RN where Δ N is the N-Laplacian operator, h(u) is continuous and behaves as exp(α|u| N/(N-1)) when |u| → ∞. Using the Nehari manifold method and the Schwarz symmetrization with some special techniques, the existence of a nonnegative and nontrivial solution u(x) ∈ W 1,N (R N ) with u(x) → 0 as |x| → ∞ is established." @default.
- W2395458277 created "2016-06-24" @default.
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- W2395458277 date "2016-05-18" @default.
- W2395458277 modified "2023-10-16" @default.
- W2395458277 title "Soliton solutions for quasilinear Schrödinger equation with critical exponential growth in ℝ N" @default.
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- W2395458277 doi "https://doi.org/10.1007/s10492-016-0134-x" @default.
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