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arXiv · 2210.14230

A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators

Kanishka Perera·Caterina Sportelli
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Abstract

We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in [20].

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Kanishka Perera, Caterina Sportelli. 2022-10-25. A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators. https://doi.org/10.12775/tmna.2023.037

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