Normalized solutions for a kind of Schrödinger equations with general potential and mass-supercritical

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.