Number of synchronized solutions for linearly coupled elliptic systems
DOI10.1016/J.NA.2021.112364zbMath1466.35148OpenAlexW3152987625MaRDI QIDQ2033043
Zifei Shen, Ke Jin, Lushun Wang
Publication date: 14 June 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2021.112364
Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for second-order elliptic systems (35J57)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Infinitely many positive solutions for nonlinear equations with non-symmetric potentials
- Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent
- On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
- Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
- Remarks on some systems of nonlinear Schrödinger equations
- Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
- Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case
- On the critical cases of linearly coupled Choquard systems
- Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems with continuous potentials
- Minimax theorems
- Bound and ground states of coupled nonlinear Schrödinger equations
- An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem
- On the number of positive solutions of singularly perturbed 1D NLS
- Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
- Segregated vector solutions for linearly coupled nonlinear Schrodinger systems
- Segregated and synchronized vector solutions to linearly coupled systems of Schrödinger equations
- On the number of interior peak solutions for a singularly perturbed Neumann problem
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
- Semiclassical solutions for linearly coupled Schrödinger equations without compactness
- Ground states for a linearly coupled system of Schrödinger equations on R N
- Infinitely many solutions to a linearly coupled Schrödinger system with non-symmetric potentials
This page was built for publication: Number of synchronized solutions for linearly coupled elliptic systems
