Domain Variation Solutions for degenerate two phase free boundary problems

2020/01/20 by Aleksandr Dzhugan, Dzhugan, Aleksandr, Fausto Ferrari +1
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2001.07174

Abstract

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

Citations

• Variational problems with two phases and their free boundaries

Related

• Regularity for degenerate two-phase free boundary elliptic problems
• Regularity for degenerate two-phase free boundary problems
• Differentiability of solutions for a degenerate fully nonlinear free transmission problem
• On certain degenerate one-phase free boundary problems
• A Degenerate One-Phase Free Boundary Problem Arising From the Alt-Phillips Equation for Negative Powers