Stationary solutions of quasi-linear Schrödinger-Poisson systems

DOI10.1006/jdeq.1997.3405zbMath0909.35133OpenAlexW1968403797MaRDI QIDQ1265085

Reinhard Illner, Otared Kavian, Horst Lange

Publication date: 6 October 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3405

zbMATH Keywords

quantum mechanical modelinfinite number of different stationary statesnonlinear Schrödinger-Poisson eigenvalue problemperiodic Schrödinger-Poisson systemsemi-conductor nanostructures

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Motion of charged particles (78A35)

Related Items (20)

Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms ⋮ Quasilinear asymptotically periodic Schrödinger-Poisson system with subcritical growth ⋮ Multiple solutions for a quasilinear Schrödinger-Poisson system ⋮ An efficient algorithm for the Schrödinger-Poisson eigenvalue problem ⋮ Existence and asymptotic behaviour of solutions for a quasilinear Schrödinger-Poisson system in \(\mathbb{R}^3\) ⋮ Long time behavior of solutions to a Schrödinger-Poisson system in \(\mathbb R^3\) ⋮ Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates ⋮ Multiple solutions for a class of quasilinear Schrödinger-Poisson system in \(\mathbb{R}^3\) with critical nonlinearity and zero mass ⋮ On sign-changing solutions for quasilinear Schrödinger-Poisson system with critical growth ⋮ Quasilinear Schrödinger–Poisson system with exponential and logarithmic nonlinearities ⋮ Existence and asymptotic behaviour of solutions for a quasi-linear Schrödinger-Poisson system with a critical nonlinearity ⋮ Solutions of a quasilinear Schrödinger-Poisson system with linearly bounded nonlinearities ⋮ Existence and asymptotic behavior of positive solutions to some logarithmic Schrödinger-Poisson system ⋮ Multiple solutions for a nonhomogeneous Schrödinger-Born-Infeld system ⋮ Existence and asymptotic behavior of solutions for the Schrödinger-Born-Infeld system with steep potential well ⋮ Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger-Poisson systems in \(\mathbb R^3\) ⋮ Quasi-linear Schrödinger-Poisson system under an exponential critical nonlinearity: existence and asymptotic behaviour of solutions ⋮ Asymptotic behavior of the solutions of a system of Schödinger-Poisson equations on a bounded domain in \(\mathbb R ^3 \) ⋮ A perturbation approach for the Schrödinger-Born-Infeld system: solutions in the subcritical and critical case ⋮ A global approach to the Schrödinger-Poisson system: an existence result in the case of infinitely many states

Cites Work

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