A class of free boundary problems with Neuman boundary condition
Abdeslem Lyaghfouri, Abderachid Saadi
TL;DR
This paper studies the behavior of free boundaries in elliptic problems with Neumann boundary conditions, using a change of variables to relate it to previously studied problems.
Contribution
It introduces a novel change of variables approach to analyze free boundary continuity in elliptic problems with Neumann boundary conditions.
Findings
Established conditions for free boundary continuity.
Reduced complex problems to previously studied cases.
Provided theoretical insights into boundary behavior.
Abstract
In this work, we investigate the continuity of the free boundary in a class of elliptic problems, with Neuman boundary condition. The main idea is a change of variable that allows us to reduce the problem to the one studied in [14].
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Spectral Theory in Mathematical Physics