Concentrating standing waves for the Gross-Pitaevskii equation in trapped dipolar quantum gases (Q1993978)

scientific article; zbMATH DE number 6973903

Language	Label	Description	Also known as
English	Concentrating standing waves for the Gross-Pitaevskii equation in trapped dipolar quantum gases	scientific article; zbMATH DE number 6973903

Statements

instance of

scholarly article

0 references

title

Concentrating standing waves for the Gross-Pitaevskii equation in trapped dipolar quantum gases (English)

0 references

0 references

0 references

Journal of Differential Equations

0 references

publication date

6 November 2018

0 references

zbMATH Keywords

perturbated Gross-Pitaevskii equation

0 references

dipolar quantum gases

0 references

positive solutions

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1016/j.jde.2018.07.047

0 references

cites work

Semiclassical states of nonlinear Schrödinger equations

0 references

Dual variational methods in critical point theory and applications

0 references

Existence of solitary waves in dipolar quantum gases

0 references

Fourier Analysis and Nonlinear Partial Differential Equations

0 references

Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates

0 references

Standing waves for nonlinear Schrödinger equations with a general nonlinearity

0 references

Standing waves with a critical frequency for nonlinear Schrödinger equations. II.

0 references

On dipolar quantum gases in the unstable regime

0 references

Nonlinear scalar field equations. I: Existence of a ground state

0 references

Nonlinear scalar field equations. II: Existence of infinitely many solutions

0 references

Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases

0 references

On the Gross–Pitaevskii equation for trapped dipolar quantum gases

0 references

Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well

0 references

Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations

0 references

Existence and concentration result for the Kirchhoff type equations with general nonlinearities

0 references

Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

0 references

Q5187597

0 references

Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches

0 references

The concentration-compactness principle in the calculus of variations. The locally compact case. II

0 references

Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

0 references

Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)<sub>a</sub>

0 references

On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential

0 references

Local mountain passes for semilinear elliptic problems in unbounded domains

0 references

On a class of nonlinear Schrödinger equations

0 references

On concentration of positive bound states of nonlinear Schrödinger equations

0 references

Minimax theorems

0 references

Identifiers

zbMATH Open document ID

1403.35104

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1016/J.JDE.2018.07.047

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1993978