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
-
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) -
Existence of extremal periodic solutions for quasilinear parabolic equations
by: Siegfried Carl
Published: (1997-01-01) -
Sobolev regularity of the canonical solutions to $\bar{\partial }$ on product domains
by: Zhang, Yuan
Published: (2024-03-01) -
Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities
by: Yipeng Qiu, et al.
Published: (2024-12-01) -
An essay on the foundations of variational methods: Exploring Sobolev Spaces for boundary integral equations
by: Rômulo Damasclin Chaves dos Santos, et al.
Published: (2024-07-01)