<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Existence and improved regularity for a nonlinear system with collapsing ellipticity |
Publication Date: | 2019-02-01 |
Authors: |
- Edgard A. Pimentel
- José Miguel Urbano |
Abstract: | We study a nonlinear system made up of an elliptic equation of blended singular/degenerate type and Poisson’s equation with a lowly integrable source. We prove the existence of a weak solution in any space dimension and, chiefly, derive an improved C1,Log-Lip regularity estimate using tangential analysis methods. The system illustrates a sophisticated version of the proverbial thermistor problem and our results are new even in simpler modelling scenarios. |
Institution: | DMUC 19-04 |
Online version: | http://www.mat.uc.pt...prints/eng_2019.html |
Download: | Not available |