Cordes-Nirenberg type results for nonlocal equations with deforming kernels (Preprint)

  <Reference List>
Type: Preprint
National /International: International
Title: Cordes-Nirenberg type results for nonlocal equations with deforming kernels
Publication Date: 2022-12-15
Authors: - Disson dos Prazeres
- Aelson Sobral
- José Miguel Urbano
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-Ampère equation. Under a natural integrability assumption on the Monge-Ampère solution, we prove a stability lemma allowing the ellipticity class to vary. Using a compactness method, we then derive Hölder regularity estimates for the gradient of the solutions.

Institution: DMUC 22-48
Online version: http://www.mat.uc.pt...prints/eng_2022.html
Download: Not available
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support