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<p>We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrödinger Poisson equation with a general nonlinearity <i>f</i>(<i>u</i>). Particularly, we allow that <i>f</i> is <i>L</i><sup>2</sup> supercritical. The main result shows that minimizers are radially symmetric modulo suitable translations.</p>

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On radiality of minimizers to L2 supercritical Schrödinger Poisson equations with general nonlinearities

  • 期刊论文

  • 发表日期：

    2025年2月6日

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  • Chengcheng Wu,
  • Linjie Song

摘要

We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrödinger Poisson equation with a general nonlinearity f(u). Particularly, we allow that f is L2 supercritical. The main result shows that minimizers are radially symmetric modulo suitable translations.