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<p>In this paper, we study the inhomogeneous Schrödinger equation with mixed fractional Laplacians and critical exponent, which arises in the population dynamics model with nonlocal diffusion. We prove the existence of normalized solutions via a generalized version of Lieb’s translation theorem and local minimizing method.</p>

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Normalized ground states for the inhomogeneous Schrödinger equation with mixed fractional Laplacians

  • 期刊论文

  • 发表日期：

    2026年3月21日

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  • Jie Yang,
  • Haibo Chen

摘要

In this paper, we study the inhomogeneous Schrödinger equation with mixed fractional Laplacians and critical exponent, which arises in the population dynamics model with nonlocal diffusion. We prove the existence of normalized solutions via a generalized version of Lieb’s translation theorem and local minimizing method.