TY - JOUR
T1 - Pinning of Vortices for a Variational Problem Related to the Superconducting Thin Films Having Variable Thickness
AU - Shijin Ding  & Zuhan Liu 
JO - Journal of Partial Differential Equations
VL - 2
SP - 174
EP - 192
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5591.html
KW - Superconductivity
KW - vortices
KW - asymptotic behavior
KW - pinning mechanism
AB -  This paper is concerned with the minimization problem related to the superconducting thin films having variable thickness. The asymptotic behavior of the minimizers is discussed. The singularities are found to be located at the thinnest positions of the film and the vortices of u_ε are proved to be pinned near these regions.