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The common explanation provided for this state within the classical elastic theory of Frank demands that one Ericksen\u2019s inequality is violated. Since in general such a violation makes Frank\u2019s elastic free-energy functional unbounded below, the question arises as to whether the twisted ground state can be locally stable. We answer this question in the<jats:italic>affirmative<\/jats:italic>. In reaching this conclusion, a central role is played by the specific boundary conditions imposed in the experiments on the boundary of rigid containers and by a general formula that we derive here for the second variation in Frank\u2019s elastic free energy.<\/jats:p>","DOI":"10.1007\/s00332-022-09833-6","type":"journal-article","created":{"date-parts":[[2022,8,23]],"date-time":"2022-08-23T02:02:16Z","timestamp":1661220136000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Stability Against the Odds: The Case of Chromonic Liquid Crystals"],"prefix":"10.1007","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3970-0875","authenticated-orcid":false,"given":"Silvia","family":"Paparini","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2295-8055","authenticated-orcid":false,"given":"Epifanio G.","family":"Virga","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,8,23]]},"reference":[{"key":"9833_CR1","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1051\/cocv:2008029","volume":"15","author":"AA Agrachev","year":"2009","unstructured":"Agrachev, A.A., Chittaro, F.C.: Smooth optimal synthesis for infinite horizon variational problems. 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