{"title":"Existence and nonexistence of solutions for a p-fractional Kirchhoff equation with critical growth in R^N","authors":"M. Massar","doi":"10.24193/mathcluj.2023.1.11","DOIUrl":null,"url":null,"abstract":"\"This paper deals with a certain p-fractional Kirchhoff equation. By transforming the equation into an equivalent system, we establish the existence of at least one nontrivial solution or two nontrivial solutions without using the well-known Ambrosetti-Rabinowitz (AR) condition. Furthermore, the nonexistence case is also treated. Our result extends and completes the recent works in the literature.\"","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2023.1.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
"This paper deals with a certain p-fractional Kirchhoff equation. By transforming the equation into an equivalent system, we establish the existence of at least one nontrivial solution or two nontrivial solutions without using the well-known Ambrosetti-Rabinowitz (AR) condition. Furthermore, the nonexistence case is also treated. Our result extends and completes the recent works in the literature."
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