TY - JOUR
T1 - Bifurcation Analysis for a Free Boundary Problem Modeling Growth of Solid Tumor with Inhibitors
AU - Wang , Zejia
AU - Xu , Jianlei
AU - Li , Jinghua
JO - Communications in Mathematical Research 
VL - 1
SP - 85
EP - 96
PY - 2019
DA - 2019/12
SN - 33
DO - http://doi.org/10.13447/j.1674-5647.2017.01.09
UR - https://global-sci.org/intro/article_detail/cmr/13448.html
KW - free boundary problem, bifurcation analysis, solid tumor
AB - <p style="text-align: justify;">This paper is concerned with the bifurcation analysis for a free boundary problem modeling the growth of solid tumor with inhibitors. In this problem, surface tension coefficient plays the role of bifurcation parameter, it is proved that there exists a sequence of the nonradially stationary solutions bifurcate from the radially symmetric stationary solutions. Our results indicate that the tumor grown in vivo may have various shapes. In particular, a tumor with an inhibitor is associated with the growth of protrusions.</p>