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Finite-time blow-up for the attractive dominant case of an attraction-repulsion chemotaxis system in the whole space 整个空间中吸引-排斥趋化系统的吸引优势情形的有限时间爆破
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2023-01-01 DOI: 10.57262/die036-1112-907
Tatsuya Hosono
{"title":"Finite-time blow-up for the attractive dominant case of an attraction-repulsion chemotaxis system in the whole space","authors":"Tatsuya Hosono","doi":"10.57262/die036-1112-907","DOIUrl":"https://doi.org/10.57262/die036-1112-907","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71144817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence and concentration of positive solution for a fractional logarithmic Schrödinger equation 分数对数Schrödinger方程正解的存在性和集中性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-11-01 DOI: 10.57262/die035-1112-677
Chao Ji, Ying Xue
{"title":"Existence and concentration of positive solution for a fractional logarithmic Schrödinger equation","authors":"Chao Ji, Ying Xue","doi":"10.57262/die035-1112-677","DOIUrl":"https://doi.org/10.57262/die035-1112-677","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47219617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Ground state solutions for the Chern-Simons-Schrödinger equation with zero mass potential 零质量势能Chern-Simons-Schrödinger方程的基态解
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-11-01 DOI: 10.57262/die035-1112-767
Sitong Chen, Xianhua Tang, Ning Zhang
{"title":"Ground state solutions for the Chern-Simons-Schrödinger equation with zero mass potential","authors":"Sitong Chen, Xianhua Tang, Ning Zhang","doi":"10.57262/die035-1112-767","DOIUrl":"https://doi.org/10.57262/die035-1112-767","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45213654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiplicity of solutions for the degenerate Kirchhoff system with critical nonlinearity on the Heisenberg group Heisenberg群上具有临界非线性的退化Kirchhoff系统解的多重性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-11-01 DOI: 10.57262/die035-1112-749
Shiqi Li, Sihua Liang
{"title":"Multiplicity of solutions for the degenerate Kirchhoff system with critical nonlinearity on the Heisenberg group","authors":"Shiqi Li, Sihua Liang","doi":"10.57262/die035-1112-749","DOIUrl":"https://doi.org/10.57262/die035-1112-749","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45437172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sign-changing solutions to an elliptic system with couplings on Kirchhoff term and nonlinear part Kirchhoff项与非线性部分耦合的椭圆系统的变号解
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-11-01 DOI: 10.57262/die035-1112-705
Jianqing Chen, Xiuli Tang
{"title":"Sign-changing solutions to an elliptic system with couplings on Kirchhoff term and nonlinear part","authors":"Jianqing Chen, Xiuli Tang","doi":"10.57262/die035-1112-705","DOIUrl":"https://doi.org/10.57262/die035-1112-705","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48225400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Traveling waves for a three-species competition system with two weak aboriginal competitors 具有两个弱土著竞争者的三种群竞争系统的行波
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-11-01 DOI: 10.57262/die035-1112-819
Jong-Shenq Guo, K. Guo
{"title":"Traveling waves for a three-species competition system with two weak aboriginal competitors","authors":"Jong-Shenq Guo, K. Guo","doi":"10.57262/die035-1112-819","DOIUrl":"https://doi.org/10.57262/die035-1112-819","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48282136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A note on quasilinear Schrödinger equations with singular or vanishing radial potentials 关于具有奇异或消失径向势的拟线性Schrödinger方程的一个注记
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-10-29 DOI: 10.57262/die035-1112-659
M. Badiale, M. Guida, S. Rolando
{"title":"A note on quasilinear Schrödinger equations with singular or vanishing radial potentials","authors":"M. Badiale, M. Guida, S. Rolando","doi":"10.57262/die035-1112-659","DOIUrl":"https://doi.org/10.57262/die035-1112-659","url":null,"abstract":". In this note we complete the study of [3], where we got existence results for the quasilinear elliptic equation N , with singular or vanishing continuous radial potentials V ( r ), K ( r ). In [3] we assumed, for technical reasons, that K ( r ) was vanishing as r → 0, while in the present paper we remove this obstruction. To face the problem we apply a suitable change of variables w = f ( u ) and we find existence of non negative solutions by the application of variational methods. Our solutions satisfy a weak formulations of the above equation, but they are in fact classical solutions in R N { 0 } . The nonlinearity g has a double-power behavior, whose standard example is g ( t ) = min { t q 1 − 1 , t q 2 − 1 } ( t > 0), recovering the usual case of a single-power behavior when q 1 = q 2 .","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41962941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The narrow capture problem on general Riemannian surfaces 一般黎曼曲面上的窄俘获问题
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-09-26 DOI: 10.57262/die036-1112-877
M. Nursultanov, William Trad, J. Tzou, L. Tzou
{"title":"The narrow capture problem on general Riemannian surfaces","authors":"M. Nursultanov, William Trad, J. Tzou, L. Tzou","doi":"10.57262/die036-1112-877","DOIUrl":"https://doi.org/10.57262/die036-1112-877","url":null,"abstract":"In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modelled as a Brownian particle. We use a layer potential argument in conjunction with microlocal analysis in order to derive the leading order singularity as well as the O(1) term of the mean first passage time and the associated spatial average.","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45716121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Multiple solutions for weighted fractional $p$-Laplace equations involving singular nonlinearity 奇异非线性加权分式$p$-Laplace方程的多重解
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-09-01 DOI: 10.57262/die035-0910-483
Chaoqun Song, Mingqi Xiang
{"title":"Multiple solutions for weighted fractional $p$-Laplace equations involving singular nonlinearity","authors":"Chaoqun Song, Mingqi Xiang","doi":"10.57262/die035-0910-483","DOIUrl":"https://doi.org/10.57262/die035-0910-483","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":"56 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41276596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Convergence rate in periodic homogenization of higher-order parabolic systems revisited 高阶抛物型系统周期均匀化的收敛速度
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-09-01 DOI: 10.57262/die035-0910-531
Qing Meng, Weisheng Niu
{"title":"Convergence rate in periodic homogenization of higher-order parabolic systems revisited","authors":"Qing Meng, Weisheng Niu","doi":"10.57262/die035-0910-531","DOIUrl":"https://doi.org/10.57262/die035-0910-531","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49127072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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