Minimizers of \(L^2\)-subcritical variational problems with spatially decaying nonlinearities in bounded domains
From MaRDI portal
Publication:6152126
DOI10.1007/s10473-024-0312-yOpenAlexW4391819520MaRDI QIDQ6152126
No author found.
Publication date: 11 March 2024
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10473-024-0312-y
PDEs in connection with quantum mechanics (35Q40) Applications of functional analysis in quantum physics (46N50) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation
- Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
- On the collapse and concentration of Bose-Einstein condensates with inhomogeneous attractive interactions
- Classification of minimal mass blow-up solutions for an \({L^{2}}\) critical inhomogeneous NLS
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
- Blowup of \(H^1\) solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation
- Minimizers of mass critical Hartree energy functionals in bounded domains
- Stability and multiplicity of standing waves for the inhomogeneous NLS equation with a harmonic potential
- Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation
- Global well-posedness and instability of an inhomogeneous nonlinear Schrödinger equation
- On the mass concentration for Bose-Einstein condensates with attractive interactions
- Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
- Minimizers of \(L^2\)-subcritical inhomogeneous variational problems with a spatially decaying nonlinearity
- Remarks on the inhomogeneous fractional nonlinear Schrödinger equation
- On the Symmetry of the Ground States of Nonlinear Schrödinger Equation with Potential
- On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient
- A Uniqueness Result for Δu - λu + V(⃒x⃒)uP = 0 on ℝ2
- Threshold behavior and uniqueness of ground states for mass critical inhomogeneous Schrödinger equations
- Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
- Singularly Perturbed Methods for Nonlinear Elliptic Problems
