Localized nodal solutions for quasilinear Schrödinger equations

DOI10.1016/j.jde.2019.08.003zbMath1423.35021OpenAlexW2971054820MaRDI QIDQ2273518

Zhi-Qiang Wang, Jia Quan Liu, Xiang-Qing Liu

Publication date: 24 September 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.08.003

zbMATH Keywords

semiclassical statesvariational perturbation methodmodified nonlinear Schrödinger equation (MNLS)

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (13)

Localized nodal solutions for Schrödinger-Poisson systems ⋮ Existence and asymptotic behavior of localized nodal solutions for a class of Kirchhoff-type equations ⋮ Localization of normalized solutions for saturable nonlinear Schrödinger equations ⋮ Infinitely many localized semiclassical states for nonlinear Kirchhoff-type equation ⋮ Localized nodal solutions for p-Laplacian equations with critical exponents ⋮ Existence of least energy positive and nodal solutions for a quasilinear Schrödinger problem with potentials vanishing at infinity ⋮ Localized nodal solutions for semiclassical Choquard equations ⋮ Sign-changing solutions for semilinear elliptic equation with variable exponent ⋮ The existence of normalized solutions for \(L^2\)-critical quasilinear Schrödinger equations ⋮ Unnamed Item ⋮ Sign-changing solutions for a parameter-dependent quasilinear equation ⋮ Multiple localized nodal solutions of high topological type for Kirchhoff-type equation with double potentials ⋮ Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations

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