Normalized solutions for a kind of Schrödinger equations with general potential and mass-supercritical
Abstract
We are concerned with a kind of Schrödinger equations with general potential and mass-supercritical. By introducing new assumptions on the potential and the nonlinearity, we obtain convincing arguments to construct the existence of normalized solutions via critical point theory. This work complements the relate one of Chen-Tang (J. Differ. Equ. 386:435–479, 2024 ) and Jin-Tang (Appl. Math. Lett. 160:109329, 2025 ) to the potential case.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Boundary Value Problems
- Volume
- 2026
- Issue
- 1
- Publication date
- 29 January 2026
- Language
- EN