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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109368


    Title: ON THE EXISTENCE OF TWO STATIONARY SOLUTIONS FOR A FREE BOUNDARY PROBLEM DESCRIBING CELL MOTILITY
    Authors: Monobe, Harunori
    Keywords: Free boundary problems;Cell crawling
    Date: 2016-03
    Issue Date: 2017-01-17 10:16:39 (UTC+8)
    Publisher: 淡江大學出版中心
    Abstract: 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 \cite{monobe_ninomiya} 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 problem under the same boundary conditions. The proof is based on the weak maximum principle and the mean-valued theorem.
    Relation: Tamkang Journal of Mathematics 47(1), pp.39-50
    DOI: 10.5556/j.tkjm.47.2016.1889
    Appears in Collections:[Tamkang Journal of Mathematics] v.47 n.1

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