Existence of normalized solutions for a Sobolev supercritical Schrödinger equation
This paper studies the existence of normalized solutions for the following Schrödinger equation with Sobolev supercritical growth: \begin{document}$ \begin{equation*} \begin{cases} -\Delta u+V(x)u+\lambda u = f(u)+\mu |u|^{p-2}u, \quad &\hbox{in}\;\mathbb{R}^N,\\ \int_{\mathbb{R}^N}|u|^2dx = a...
Saved in:
| Main Authors: | Quanqing Li, Zhipeng Yang |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
|
| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024316 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Solutions with prescribed mass for the Sobolev critical Schrödinger–Poisson system with p-Laplacian
by: Kai Liu, et al.
Published: (2025-08-01) -
Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent
by: Jingai Du, et al.
Published: (2025-01-01) -
Normalized solutions for Schrödinger equations with critical Sobolev exponent and perturbations of Choquard terms
by: Peng Jin, et al.
Published: (2025-08-01) -
Sign-changing and signed solutions for fractional Laplacian equations with critical or supercritical nonlinearity
by: Kexin Ouyang, et al.
Published: (2025-03-01) -
Normalized solutions for fractional Schrodinger-Choquard systems with Sobolev critical coupled nonlinearity
by: Zilin Chen, et al.
Published: (2025-05-01)