@UNPUBLISHED{publication1, title = "Cordes-Nirenberg type results for nonlocal equations with deforming kernels", author = "{PRAZERES, Disson dos} and {SOBRAL, Aelson} and {URBANO, Jos{\'{e}} Miguel}", year = "2022-12-15", abstract = "
We derive Cordes-Nirenberg type results for nonlocal elliptic integro-differential equations with deforming kernels comparable to sections of a convex solution of a Monge-Amp{\`{e}}re equation. Under a natural integrability assumption on the Monge-Amp{\`{e}}re solution, we prove a stability lemma allowing the ellipticity class to vary. Using a compactness method, we then derive H{\"{o}}lder regularity estimates for the gradient of the solutions.
", url = "http://www.mat.uc.pt/preprints/eng\_2022.html", note = "" }