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...

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Bibliographic Details
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
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