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 [22].
Citation
Kanishka Perera. Caterina Sportelli. "A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators." Topol. Methods Nonlinear Anal. 63 (2) 717 - 731, 2024. https://doi.org/10.12775/TMNA.2023.037
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