Normalized ground states for a nonlinear Schrödinger equation with double critical nonlinearities
Abstract
We consider the constrained nonlinear Schrödinger problem in \(\mathbb{R}^{N}\) ( \(N\ge 3\) ) where \(2< p,m0\) , and \(\gamma >0\) is a parameter. We prove that there exists an explicit threshold \(\gamma _{0}=\gamma _{0}(a,\mu ,\kappa ,N,p,m)>0\) , determined by the variational inequalities and Sobolev embedding constants, such that for every \(0
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Boundary Value Problems
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 7 January 2026
- Language
- EN