Quasilinear schrödinger equation

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Existence and properties of soliton solution for the quasilinear Schrödinger system

Open Mathematics
In this article, we consider the following quasilinear Schrödinger system: −εΔu+u+k2ε[Δ∣u∣2]u=2αα+β∣u∣α−2u∣v∣β,x∈RN,−εΔv+v+k2ε[Δ∣v∣2]v=2βα+β∣u∣α∣v∣β−2v,x∈RN,\left\{\begin{array}{ll}-\varepsilon \Delta u+u+\frac{k}{2}\varepsilon \left[\Delta \hspace{-0 ...
Zhang Xue, Zhang Jing
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Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type

, 2022
Die Hu, Xianhua Tang, Qi Zhang
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Multiplicity of Solutions for a Sublinear Quasilinear Schrödinger Equation [PDF]

, 2019
Gui Bao, Tingzhi Cheng
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On the Local Well Posedness of Quasilinear Schrödinger Equations in Arbitrary Space Dimension

, 2001
Markus Poppenberg
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Local wellposedness for the quasilinear Schrödinger equations via the generalized energy method

, 2023
Jie Shao, Yi Zhou
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Existence of soliton solutions for a quasilinear Schrödinger equation involving critical exponent in ${\BR}^N$}

, 2006
Abbas Moameni
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Low regularity solutions for the general Quasilinear ultrahyperbolic Schrödinger equation

, 2023
Ben Pineau, Mitchell A. Taylor
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