On a planar Schrödinger–Poisson system involving a non-symmetric potential

DOI10.1017/S0013091522000517MaRDI QIDQ5877604

Riccardo Molle, Andrea Sardilli

Publication date: 14 February 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01941

zbMATH Keywords

nonlinear Schrödinger-Poisson systemsplanar caseexistence of a ground state

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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