nonlinear hartree equation
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scholarly journals Focusing nonlinear Hartree equation with inverse‐square potential

2020 ◽  
Vol 293 (12) ◽  
pp. 2271-2298
Author(s):  
Yu Chen ◽  
Jing Lu ◽  
Fanfei Meng
Keyword(s):  
Hartree Equation ◽  
Nonlinear Hartree Equation

scholarly journals On a logarithmic Hartree equation

2019 ◽  
Vol 9 (1) ◽  
pp. 850-865 ◽  
Author(s):  
Federico Bernini ◽  
Dimitri Mugnai
Keyword(s):  
Critical Point ◽  
Critical Point Theory ◽  
Point Theory ◽  
Hartree Equation ◽  
Poisson System ◽  
Negative Solution ◽  
Reaction Term ◽  
Nonlinear Hartree Equation ◽  
Radially Symmetric Solutions ◽  
Superlinear Reaction

Abstract We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree equation with a logarithmic convolution term, and the existence of a positive and a negative solution is established via critical point theory.

scholarly journals Nonlinear Hartree equation in high energy-mass

2017 ◽  
Vol 34 ◽  
pp. 97-109 ◽  
Author(s):  
Juan Huang ◽  
Jian Zhang
Keyword(s):  
High Energy ◽  
Hartree Equation ◽  
Nonlinear Hartree Equation

scholarly journals Dynamics for the focusing, energy-critical nonlinear Hartree equation

2015 ◽  
Vol 27 (1) ◽  
Author(s):  
Changxing Miao ◽  
Yifei Wu ◽  
Guixiang Xu
Keyword(s):  
Hartree Equation ◽  
Nonlinear Hartree Equation

AbstractBy Li, Miao and Zhang (2009) and Miao, Xu and Zhao (2009), the dynamics of the solutions for the focusing energy-critical Hartree equation have been classified when

On the standing waves for nonlinear Hartree equation with confining potential

2012 ◽  
Vol 53 (3) ◽  
pp. 033702 ◽  
Author(s):  
Pei Cao ◽  
Jing Wang ◽  
Wenming Zou
Keyword(s):  
Standing Waves ◽  
Hartree Equation ◽  
Confining Potential ◽  
Nonlinear Hartree Equation

scholarly journals Nonlinear Hartree equation as the mean field limit of weakly coupled fermions

2004 ◽  
Vol 83 (10) ◽  
pp. 1241-1273 ◽  
Author(s):  
Alexander Elgart ◽  
László Erdős ◽  
Benjamin Schlein ◽  
Horng-Tzer Yau
Keyword(s):  
Mean Field ◽  
Hartree Equation ◽  
Field Limit ◽  
Mean Field Limit ◽  
Weakly Coupled ◽  
Nonlinear Hartree Equation ◽  
The Mean

Symmetry breaking regime in the nonlinear Hartree equation

2002 ◽  
Vol 43 (8) ◽  
pp. 3879-3891 ◽  
Author(s):  
W. H. Aschbacher ◽  
J. Fröhlich ◽  
G. M. Graf ◽  
K. Schnee ◽  
M. Troyer
Keyword(s):  
Symmetry Breaking ◽  
Hartree Equation ◽  
Nonlinear Hartree Equation

H m -modified wave operator for nonlinear Hartree equation in space of dimensionn≥2

1997 ◽  
Vol 13 (2) ◽  
pp. 247-268 ◽  
Author(s):  
Miao Changxing
Keyword(s):  
Wave Operator ◽  
Hartree Equation ◽  
Nonlinear Hartree Equation
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