{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:41:01Z","timestamp":1787323261926,"version":"build-2736575974"},"reference-count":18,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>The boundary value problem for the Kirchhoff--Love model of a hinged elastic plate with stress is as follows: $ \\Delta^{2} u - \\tau \\Delta u = f $ in $\\Omega\\subset\\mathbb{R}^2$, $u= \\Delta u -(1- \\sigma ) \\kappa u_{\\nu} =0$ on $\\partial \\Omega$ with weight $f \\in L^{2}(\\Omega)$, Poisson ratio $\\sigma\\in (-1,1)$, stress coefficient $\\tau \\geq 0$, and boundary curvature $\\kappa$. We will prove that this problem is positivity preserving on convex domains, meaning $f\\geq 0$ implies $u\\geq 0$. The proof relies on optimal estimates for a weighted first Steklov eigenvalue and on an application of the Kre\u012dn--Rutman theorem for an auxiliary problem. The case $\\tau =0$ has been studied by Parini and Stylianou [ SIAM J. Math. Anal., 41 (2009), pp. 2031--2037].<\/jats:p>","DOI":"10.1137\/17m1138790","type":"journal-article","created":{"date-parts":[[2018,2,13]],"date-time":"2018-02-13T13:44:14Z","timestamp":1518529454000},"page":"1163-1174","source":"Crossref","is-referenced-by-count":3,"title":["Positivity for a Hinged Convex Plate with Stress"],"prefix":"10.1137","volume":"50","author":[{"given":"Guido","family":"Sweers","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Katerina","family":"Vassi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,2,13]]},"reference":[{"key":"atypb1","volume-title":"Sobolev Spaces","author":"Adams R. A.","year":"2003","edition":"2"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(72)90074-2"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1137\/1018114"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2006.04.003"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1016\/0160-9327(91)90123-S"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01451590"},{"key":"atypb7","series-title":"Lecture Notes in Math.","volume-title":"Polyharmonic Boundary Value Problems","author":"Gazzola F.","year":"1991"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-007-0090-4"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61798-0"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1850.40.51"},{"key":"atypb11","volume-title":"Sigma Ser. Appl. Math. 5","author":"Krasnosel'skij M. A.","year":"1989"},{"key":"atypb12","first-page":"26","author":"Kre\u012dn M. G.","year":"1950","journal-title":"Amer. Math. Soc. Transl."},{"key":"atypb13","volume-title":"A treatise on the Mathematical Theory of Elasticity","author":"Love A. E. H.","year":"1944","edition":"4"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1002\/mana.19951730115"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1137\/090757526"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.2140\/apde.2017.10.943"},{"key":"atypb17","volume-title":"Math. Sci. Eng. 157","author":"Sperb R. P.","year":"1981"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1007\/BF02570833"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/17M1138790","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:51:35Z","timestamp":1787320295000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/17M1138790"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["10.1137\/17M1138790"],"URL":"https:\/\/doi.org\/10.1137\/17m1138790","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]}}}