A new rearrangement inequality and its application for L² L 2 -constraint minimizing problems

2016/12/19 by Masataka Shibata · 5 citations
Mathematics · Engineering · #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations

paper · doi:10.1007/s00209-016-1828-1

Citations

• Orbital stability of standing waves for some nonlinear Schr�dinger equations
• A relation between pointwise convergence of functions and convergence of functionals

Cited by

• Nonlinear scalar field equations with L² constraint: Mountain pass and symmetric mountain pass approaches
• Normalized solutions for Schrödinger system with quadratic and cubic interactions
• Momentum-mass normalized dark-bright solitons to one dimensional Gross-Pitaevskii systems
• Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials
• Normalized solutions of coupled Sobolev critical Schrodinger equations with mass subcritical couplings