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July 5, 2024Open Access

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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Cite This Study

Mainini et al. (2024) studied this question.

synapsesocial.com/papers/68e614bab6db6435875a7c03 https://doi.org/10.48550/arxiv.2407.04414

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