Existence and improved regularity for a nonlinear system with collapsing ellipticity (Preprint)

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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
 
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