Cordes-Nirenberg type results for nonlocal equations with deforming kernels

Autor:	Prazeres, Disson dos, Sobral, Aelson, Urbano, José Miguel
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs Primary 35B65. Secondary 45H05 35J96 35J60 35D40
Zdroj:	J. Funct. Anal., 2024
Druh dokumentu:	Working Paper
Popis:	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\`ere equation. Under a natural integrability assumption on the Monge-Amp\`ere solution, we prove a stability lemma allowing the ellipticity class to vary. Using a compactness method, we then derive H\"older regularity estimates for the gradient of the solutions.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.07228 Zobrazit plný text záznamu View this record from Arxiv