| Abstract: |
| In this talk, we present existence and multiplicity results, in the spirit of the celebrated paper by Br\`ezis and Nirenberg https://doi.org/10.1002/cpa.3160360405, for a perturbed critical problem driven by the sum of local classical p-Laplacian plus the nonlocal fractional p-Laplacian. More precisely, we face our problem in the case of superlinear perturbations. For this, we first retrace the historical path and we make comparisons with the local classical situation and with the nonlocal fractional situation. We conclude the talk presenting some interesting open questions. The results discussed in this talk are freshly published in https://doi.org/10.1016/j.jde.2024.07.028 |
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