Pub Date : 2023-01-01DOI: 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}
Pub Date : 2022-11-01DOI: 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}
Pub Date : 2022-11-01DOI: 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}
Pub Date : 2022-11-01DOI: 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}
Pub Date : 2022-11-01DOI: 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}
Pub Date : 2022-11-01DOI: 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}
Pub Date : 2022-10-29DOI: 10.57262/die035-1112-659
M. Badiale, M. Guida, S. Rolando
. 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 .
． 本文完成了[3]的研究，得到了具有奇异或消失连续径向势V (r)， K (r)的拟线性椭圆方程N的存在性结果。在[3]中，由于技术原因，我们假设K (r)在r→0时消失，而在本文中，我们去掉了这个障碍。为了解决这个问题，我们采用适当的变量变换w = f (u)，并利用变分方法找到了非负解的存在性。我们的解满足上述方程的弱形式，但它们实际上是rn {0}中的经典解。非线性函数g具有双幂行为，其标准示例为g (t) = min {t1 q1−1,t1 q2−1}(t >)，恢复了通常情况下q1 = q2时的单幂行为。
{"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}
Pub Date : 2022-09-26DOI: 10.57262/die036-1112-877
M. Nursultanov, William Trad, J. Tzou, L. Tzou
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.
{"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}
Pub Date : 2022-09-01DOI: 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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：