TY - JOUR
T1 - On the existence of two stationary solutions for a free boundary problemdescribing cellmotility
AU - Monobe, Harunori
N1 - Funding Information:
The author would like to thank Professor Hirokazu Ninomiya for valuable suggestions. I am partially supported by Meiji Institute for Advanced Study of Mathematical Sciences and Grant-in-Aid for Young Scientists (B) (No. 15K17595) fromthe Japan Society for the Promotion of Science.
PY - 2016/3
Y1 - 2016/3
N2 - This paper is concerned with the existence of stationary solutions for a free boundary problem related to cell motility. In recent years, the author and Ninomiya [6] showed that there exist at least two stationary solutions with disk-shaped domains in isotropic boundary conditions. In this paper, it will be shown that there exist exactly two stationary solutions for the free boundary problemunder the same boundary conditions. The proof is based on the weakmaximum principle and the mean-valued theorem.
AB - This paper is concerned with the existence of stationary solutions for a free boundary problem related to cell motility. In recent years, the author and Ninomiya [6] showed that there exist at least two stationary solutions with disk-shaped domains in isotropic boundary conditions. In this paper, it will be shown that there exist exactly two stationary solutions for the free boundary problemunder the same boundary conditions. The proof is based on the weakmaximum principle and the mean-valued theorem.
KW - Cell locomotion
KW - Free boundary problems
KW - Stationary solutions
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U2 - 10.5556/j.tkjm.47.2016.1889
DO - 10.5556/j.tkjm.47.2016.1889
M3 - Article
AN - SCOPUS:84959868867
SN - 0049-2930
VL - 47
SP - 39
EP - 50
JO - Tamkang Journal of Mathematics
JF - Tamkang Journal of Mathematics
IS - 1
ER -