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arXiv · 2407.04414

Local multiplicity for fractional linear equations with Hardy potentials

Edoardo Mainini·Roberto Ognibene·Bruno Volzone
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Abstract

We exhibit existence of non-trivial solutions of some fractional linear Schr\"odinger 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.

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Edoardo Mainini, Roberto Ognibene, Bruno Volzone. 2024-07-05. Local multiplicity for fractional linear equations with Hardy potentials. https://arxiv.org/abs/2407.04414

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