{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T00:42:13Z","timestamp":1759970533765,"version":"build-2065373602"},"reference-count":58,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,1,24]],"date-time":"2025-01-24T00:00:00Z","timestamp":1737676800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Postgraduate Scientific Research Innovation Project","award":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"],"award-info":[{"award-number":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"]}]},{"DOI":"10.13039\/501100010857","name":"Science and Technology Research Project of Jiangxi Provincial Education Department","doi-asserted-by":"publisher","award":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"],"award-info":[{"award-number":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"]}],"id":[{"id":"10.13039\/501100010857","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Jiangxi Provincial Natural Science Foundation","award":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"],"award-info":[{"award-number":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"],"award-info":[{"award-number":["CX20231033","GJJ210815","20232BAB201005","12461010","12161043"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The existence of solutions to the discrete Orlicz electrostatic q-capacity Minkowski problem was given by Ji and Yang when 1&lt;p&lt;2. Now, we have studied the problem by removing the assumption that the measure \u03bc does not have a pair of antipodal point masses. By means of approximation, the sufficient condition is given for the existence of solutions to this problem for general measures when 1&lt;q&lt;2, which is an extension of the Lp electrostatic q-capacity Minkowski problem when 1&lt;q&lt;2.<\/jats:p>","DOI":"10.3390\/axioms14020086","type":"journal-article","created":{"date-parts":[[2025,1,24]],"date-time":"2025-01-24T03:26:31Z","timestamp":1737689191000},"page":"86","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Orlicz Electrostatic q-Capacity Minkowski Problem"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-5160-0562","authenticated-orcid":false,"given":"Hui","family":"Zeng","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Hunan University of Science and Technology, Xiangtan 411201, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0531-5226","authenticated-orcid":false,"given":"Lijuan","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Hunan University of Science and Technology, Xiangtan 411201, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lu","family":"Yin","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Hunan University of Science and Technology, Xiangtan 411201, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7811-329X","authenticated-orcid":false,"given":"Rigao","family":"He","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jiangxi University of Science and Technology, Ganzhou 341000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,24]]},"reference":[{"key":"ref_1","first-page":"198","article-title":"Allgemeine Lehrs\u00e4tze \u00fcber die konvexen Polyeder","volume":"1897","author":"Minkowski","year":"1897","journal-title":"Nachr. 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