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<p>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, <CitationRef CitationID="CR15">2024</CitationRef>) and Jin-Tang (Appl. Math. Lett. 160:109329, <CitationRef CitationID="CR16">2025</CitationRef>) to the potential case.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月29日

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  • Xingwen Chen,
  • Qiongfen Zhang

摘要

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.