{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:29:23Z","timestamp":1787318963170,"version":"build-2736575974"},"reference-count":31,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We show that some pieces of cylinders bounded by two parallel straight lines bifurcate in a family of periodic nonrotational surfaces with constant mean curvature and with the same boundary conditions. These cylinders are initial interfaces in a problem of microscale range modeling the morphologies that adopt a liquid deposited in a chemically structured substrate with striped geometry or a liquid contained in a right wedge with Dirichlet and capillary boundary condition on the edges of the wedge. Experiments show that starting from these cylinders and once a certain stage is reached, the shape of the liquid changes drastically in an abrupt manner. Studying the stability of such cylinders, the paper provides a mathematical proof of the existence of these new interfaces obtained in experiments. The analysis is based on the theory of bifurcation by simple eigenvalues of Crandall and Rabinowitz.<\/jats:p>","DOI":"10.1137\/11082484x","type":"journal-article","created":{"date-parts":[[2012,4,10]],"date-time":"2012-04-10T18:10:51Z","timestamp":1334081451000},"page":"946-965","source":"Crossref","is-referenced-by-count":7,"title":["Bifurcation of Cylinders for Wetting and Dewetting Models with Striped Geometry"],"prefix":"10.1137","volume":"44","author":[{"given":"Rafael","family":"L\u00f3pez","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,4,10]]},"reference":[{"key":"R1","first-page":"5","volume":"11","author":"Alexandrov A. D.","year":"1956","journal-title":"Vestnik Leningrad Univ. Math."},{"key":"R2","unstructured":"L. J. Al\u00edas and P. Piccione,\n                      Bifurcation of constant mean curvature tori in Euclidean spheres\n                      , J. Geom. 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