Normalized solutions for nonlinear Schrödinger systems with critical exponents
In this paper, we consider the following nonlocal Schrödinger system−a+b∫R3|∇u1|2dxΔu1=λ1u1+μ1|u1|p1−2u1+βr1|u1|r1−2u1|u2|r2,−a+b∫R3|∇u2|2dxΔu2=λ2u2+μ2|u2|p2−2u2+βr2|u1|r1|u2|r2−2u2,∫R3|u1|2dx=c1,∫R3|u2|2dx=c2. $$\begin{cases}-\left(a+b{\int }_{{\mathbb{R}}^{3}}\vert \nabla {u}_{1}{\vert }^{2}\mathr...
Saved in:
| Main Authors: | Hu Jiaqing, Mao Anmin |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-02-01
|
| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2023-0175 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Solutions to the coupled Schrödinger systems with steep potential well and critical exponent
by: Lv Zongyan, et al.
Published: (2024-09-01) -
Ground states for Schrödinger-Poisson system with zero mass and the Coulomb critical exponent
by: Zhang Jing, et al.
Published: (2025-03-01) -
Normalized solutions for the Kirchhoff equation with combined nonlinearities in ℝ4
by: Qiu Xin, et al.
Published: (2024-10-01) -
Infinitely many normalized solutions for Schrödinger equations with local sublinear nonlinearity
by: Xu Qin, et al.
Published: (2025-04-01) -
Normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians
by: Mao Anmin, et al.
Published: (2025-07-01)