<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Hessian regularity in Hölder spaces for a semi-linear bi-Laplacian equation |
Publication Date: | 2024-03-28 |
Authors: |
- Claudemir Alcantara
- Edgard Almeida Pimentel - José Miguel Urbano |
Abstract: | We examine a semi-linear variant of the bi-Laplacian equation in the superlinear, subquadratic setting and obtain \( C^{2,\sigma} \)-regularity estimates, depending on the growth regime of the nonlinearity. Our strategy is to render this fourth-order problem as a system of two Poisson equations and explore the interplay between the integrability and smoothness available for each equation taken isolated. |
Institution: | DMUC 24-19 |
Online version: | http://www.mat.uc.pt...prints/eng_2024.html |
Download: | Not available |