Domain variation solutions for degenerate two phase free boundary problems

Aleksandr Dzhugan; Fausto Ferrari

doi:10.3934/mine.2021043

Mathematics in Engineering (Mar 2021)

Domain variation solutions for degenerate two phase free boundary problems

Aleksandr Dzhugan,
Fausto Ferrari

Affiliations

Aleksandr Dzhugan: Dipartimento di Matematica, Universita di Bologna, Piazza di Portà S.Donato 5, 40126, Bologna, Italy
Fausto Ferrari: Dipartimento di Matematica, Universita di Bologna, Piazza di Portà S.Donato 5, 40126, Bologna, Italy

DOI: https://doi.org/10.3934/mine.2021043
Journal volume & issue: Vol. 3, no. 6
pp. 1 – 29

Abstract

Read online

We discuss the notion of domain variation solution for some degenerate elliptic two-phase free boundary problems as well as the viscosity definition of the problem when the operator is degenerate.

Published in Mathematics in Engineering

ISSN: 2640-3501 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
Website: http://www.aimspress.com/journal/MinE

About the journal

Abstract

Keywords