{"title":"涉及各向异性 $$left( \\overrightarrow{p}(\\cdot ), \\overrightarrow{q}(\\cdot )\\right) $$ 的系统的弱解--拉普拉斯算子","authors":"A. Razani, F. Safari, T. Soltani","doi":"10.1007/s40995-024-01627-7","DOIUrl":null,"url":null,"abstract":"<div><p>A system embracing the anisotropic <span>\\(\\left( \\overrightarrow{p}(\\cdot ), \\overrightarrow{q}(\\cdot )\\right) \\)</span>-Laplacian operators is studied. We prove the existence and multiplicity of positive weak solutions for the system, via the critical point theory.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 5","pages":"1253 - 1263"},"PeriodicalIF":1.4000,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak Solutions for a System Involving Anisotropic \\\\(\\\\left( \\\\overrightarrow{p}(\\\\cdot ), \\\\overrightarrow{q}(\\\\cdot )\\\\right) \\\\)-Laplacian Operators\",\"authors\":\"A. Razani, F. Safari, T. Soltani\",\"doi\":\"10.1007/s40995-024-01627-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A system embracing the anisotropic <span>\\\\(\\\\left( \\\\overrightarrow{p}(\\\\cdot ), \\\\overrightarrow{q}(\\\\cdot )\\\\right) \\\\)</span>-Laplacian operators is studied. We prove the existence and multiplicity of positive weak solutions for the system, via the critical point theory.</p></div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"48 5\",\"pages\":\"1253 - 1263\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40995-024-01627-7\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01627-7","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Weak Solutions for a System Involving Anisotropic \(\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) \)-Laplacian Operators
A system embracing the anisotropic \(\left( \overrightarrow{p}(\cdot ), \overrightarrow{q}(\cdot )\right) \)-Laplacian operators is studied. We prove the existence and multiplicity of positive weak solutions for the system, via the critical point theory.
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The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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