Nonlinear Bound States in a Schrödinger--Poisson System with External Potential
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Publication:2960083
DOI10.1137/16M1083852zbMath1357.35085MaRDI QIDQ2960083
Jeremy L. Marzuola, Gideon Simpson, S. G. Raynor
Publication date: 7 February 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with relativity and gravitational theory (35Q75) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08)
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Cites Work
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- Petviashvilli's method for the Dirichlet problem
- Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation
- On orbital instability of spectrally stable vortices of the NLS in the plane
- Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
- Uniqueness of ground states for pseudorelativistic Hartree equations
- Existence of minimizers for Kohn-Sham models in quantum chemistry
- Stability theory of solitary waves in the presence of symmetry. I
- On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
- Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
- Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross–Pitaevskii Equations
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Linearized instability for nonlinear schrödinger and klein-gordon equations
- The Choquard equation and related questions
- A numerical study of the Schr dinger Newton equations
- Graphical Krein Signature Theory and Evans--Krein Functions
- On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity
- Mathematical concepts of quantum mechanics.
- The ground state energy of the Schrödinger-Newton equation
