TY - JOUR
T1 - Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition
AU - Saadi , Abderachid
JO - Journal of Partial Differential Equations
VL - 4
SP - 331
EP - 348
PY - 2023
DA - 2023/11
SN - 36
DO - http://doi.org/10.4208/jpde.v36.n4.1
UR - https://global-sci.org/intro/article_detail/jpde/22132.html
KW - Lipschitz continuity, free boundary, Neumann boundary condition.
AB - <p style="text-align: justify;">We consider a class of free boundary problems with Neumann boundary
conditions. We would like to give certain results with regularity of solutions (mainly
the local interior and boundary Lipschitz continuity). We will also show an explicit
form of solution under well-specified conditions.</p>