Constraint minimizers of perturbed Gross-Pitaevskii energy functionals in \(\mathbb{R}^N\)

DOI10.3934/cpaa.2019005zbMath1401.35054OpenAlexW2885306622MaRDI QIDQ1615686

Jingjing Yan, Shuai Li, Xin-Cai Zhu

Publication date: 31 October 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019005

zbMATH Keywords

minimizersenergy estimatemass concentrationGross-Pitaevskii functionalsubcritical perturbation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

On a parameter-stability for normalized ground states of two-dimensional cubic-quintic nonlinear Schrödinger equations ⋮ Asymptotic behavior of constraint minimizers for the mass-critical fractional nonlinear Schrödinger equation with a subcritical perturbation

Cites Work

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• Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
• Stable standing waves for a class of nonlinear Schrödinger-Poisson equations
• Nonlinear Schrödinger equations and sharp interpolation estimates
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation
• On concentration of positive bound states of nonlinear Schrödinger equations
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Sharp nonexistence results of prescribed \(L^2\)-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations
• Concentration behavior of standing waves for almost mass critical nonlinear Schrödinger equations
• On the mass concentration for Bose-Einstein condensates with attractive interactions
• Ground states of nonlinear Choquard equations with multi-well potentials
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Structure of a quantized vortex in boson systems
• Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
• Existence and multiplicity results for some superlinear elliptic problems on R^N

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