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<p>We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens in the local case. We also prove analogous results in the presence of a Hardy potential.</p>

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Local multiplicity for fractional linear equations with Hardy potentials

  • 期刊论文

  • 发表日期：

    2025年1月6日

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  • Edoardo Mainini,
  • Roberto Ognibene,
  • Bruno Volzone

摘要

We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens in the local case. We also prove analogous results in the presence of a Hardy potential.