Existence and uniqueness of constraint minimizers for the planar Schrödinger-Poisson system with logarithmic potentials
DOI10.1016/j.jde.2023.06.007zbMath1530.35278arXiv2212.00234MaRDI QIDQ6165624
Yan Li, Wenning Liang, Yujin Guo
Publication date: 6 July 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.00234
local uniquenessSchrödinger-Poisson systemlogarithmic convolution potentialconstraint minimizerslogarithmic external potential
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20) Time-dependent Schrödinger equations and Dirac equations (35Q41) Mixed-type systems of PDEs (35M30) PDE constrained optimization (numerical aspects) (49M41)
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