@Article{JPDE-13-341, author = {}, title = {Renormalized Energy with Vortices Pinning Effect}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {4}, pages = {341--360}, abstract = { This paper is a continuation of the previous paper in the Journal of Partial Differential Equations [1]. We derive in this paper the renormalized energy to further determine the locations of vortices in some case for the variational problem related to the superconducting thin films having variable thickness.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5518.html} }