Existence and asymptotic behaviour of solutions for a quasi-linear Schrödinger-Poisson system with a critical nonlinearity

DOI10.1007/s00033-020-01356-yzbMath1446.35193arXiv1707.05353OpenAlexW3041106304WikidataQ122111939 ScholiaQ122111939MaRDI QIDQ2194008

Giovany M. Figueiredo, Gaetano Siciliano

Publication date: 25 August 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05353

zbMATH Keywords

variational methodscritical growthnonlocal problemsSchrödinger-Poisson equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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