{"title":"一类非齐次p(x)-Kirchhoff型方程的多重解","authors":"","doi":"10.23952/jnfa.2023.17","DOIUrl":null,"url":null,"abstract":". The main aim of this paper is to investigate the existence of nontrivial solutions for a class of variable exponent p ( x ) -Kirchhoff type equations. We prove the existence of three solutions by using the mountain pass theorem and Ekeland’s variational principle. Moreover, when λ = 0, we obtain the existence of infinite many solutions by using the symmetric mountain pass theorem.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multiple solutions for a class of non-homogeneous p(x)-Kirchhoff type equations\",\"authors\":\"\",\"doi\":\"10.23952/jnfa.2023.17\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The main aim of this paper is to investigate the existence of nontrivial solutions for a class of variable exponent p ( x ) -Kirchhoff type equations. We prove the existence of three solutions by using the mountain pass theorem and Ekeland’s variational principle. Moreover, when λ = 0, we obtain the existence of infinite many solutions by using the symmetric mountain pass theorem.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/jnfa.2023.17\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2023.17","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Multiple solutions for a class of non-homogeneous p(x)-Kirchhoff type equations
. The main aim of this paper is to investigate the existence of nontrivial solutions for a class of variable exponent p ( x ) -Kirchhoff type equations. We prove the existence of three solutions by using the mountain pass theorem and Ekeland’s variational principle. Moreover, when λ = 0, we obtain the existence of infinite many solutions by using the symmetric mountain pass theorem.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.