Ground states of nonlinear Choquard equations with multi-well potentials

DOI10.1063/1.4961158zbMath1344.81181OpenAlexW2512746282WikidataQ59891862 ScholiaQ59891862MaRDI QIDQ2820881

Xiaoyu Zeng, Shuai Li, Jianlin Xiang

Publication date: 12 September 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4961158

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Blow-up in context of PDEs (35B44)

Related Items

Constraint minimizers of perturbed Gross-Pitaevskii energy functionals in \(\mathbb{R}^N\) ⋮ Existence of positive solutions for a class of quasilinear Schrödinger equations of Choquard type ⋮ Uniqueness of ground states for nonlinear Hartree equations ⋮ Existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system ⋮ Blow-up behavior of prescribed mass minimizers for nonlinear Choquard equations with singular potentials ⋮ A constrained variational problem arising in attractive Bose-Einstein condensate with ellipse-shaped potential ⋮ Blow-up profile of pseudo-relativistic Hartree equations with singular potentials ⋮ Mass concentration and local uniqueness of ground states for \(L^2\)-subcritical nonlinear Schrödinger equations ⋮ Concentration behavior of nonlinear Hartree-type equation with almost mass critical exponent ⋮ Multiple normalized solutions for Choquard equations involving Kirchhoff type perturbation

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