The structure of positive solutions for a Schrödinger system
From MaRDI portal
Publication:2179284
DOI10.12775/TMNA.2019.098zbMath1505.47069MaRDI QIDQ2179284
Zhi-Qiang Wang, Guowei Dai, Zhi-tao Zhang, Yi-min Sun
Publication date: 12 May 2020
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tmna/1583463632
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) NLS equations (nonlinear Schrödinger equations) (35Q55) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32) Second-order elliptic systems (35J47)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational, topological, and partial order methods with their applications
- Two global several-parameter bifurcation theorems and their applications
- Unilateral global bifurcation phenomena and nodal solutions for \(p\)-Laplacian
- Nonradial symmetric bound states for a system of coupled Schrödinger equations
- Partial symmetry of vector solutions for elliptic systems
- Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- Bound states for a coupled Schrödinger system
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Radial solutions and phase separation in a system of two coupled Schrödinger equations
- Uniqueness of positive solutions for a nonlinear elliptic system
- Global several-parameter bifurcation and continuation theorems: a unified approach via complementing maps
- Multiparameter local bifurcation based on the linear part
- Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
- Multiparameter bifurcation problems and topological degree
- Nonlinear multiparameter Sturm-Liouville problems
- Local bifurcation theory for multiparameter nonlinear eigenvalue problems
- Symmetry results for semilinear elliptic systems in the whole space
- Global bifurcation from Fučik spectrum
- Minimax theorems
- Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
- Classification of the solitary waves in coupled nonlinear Schrödinger equations
- Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger systems
- A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
- Bifurcations of positive and negative continua in quasilinear elliptic eigenvalue problems
- Global bifurcation and nodal solutions for a Sturm-Liouville problem with a nonsmooth nonlinearity
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Solitary waves for some nonlinear Schrödinger systems
- Some global results for nonlinear eigenvalue problems
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- BIFURCATION FROM SIMPLE EIGENVALUES AND EIGENVALUES OF GEOMETRIC MULTIPLICITY ONE
- Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction
- On Coupled Multiparameter Nonlinear Elliptic Systems
- On the Generalized Spectrum for Second-Order Elliptic Systems
- A Generalization of Multiplicity and the Problem of Bifurcation
- Boundary value problems with jumping nonlinearities
- Bifurcation from simple eigenvalues for several parameter families
- Connected sets in multiparameter bifurcation
- Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term
- Multjparameter nonlinear eigenvalue problems: positive solutions to elliptic lotka-volterra systems
- Global Preservation of Nodal Structure in Coupled Systems of Nonlinear Sturm-Liouville Boundary Value Problems
- A vector parameter global bifurcation result
- Standing waves of some coupled nonlinear Schrödinger equations
- Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ
- On positive solutions of boundary value problems on the half-line
This page was built for publication: The structure of positive solutions for a Schrödinger system
