Regularity results for a penalized boundary obstacle problem

In this paper we are concerned with a two-penalty boundary obstacle problem of interest in thermics, fluid dynamics and electricity. Specifically, we prove existence, uniqueness and optimal regularity of the solutions, and we establish structural properties of the free boundary. A central role is pl...

Full description

Bibliographic Details
Main Authors: Donatella Danielli, Rohit Jain
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2021007/fulltext.html