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Advances in Differential Equations最新文献

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Stability of polytropic filtration equation with variable exponents 变指数多变过滤方程的稳定性
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-05-01 DOI: 10.57262/ade/1589594419
Huashui Zhan, Zhaosheng Feng
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引用次数: 2
Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms 带有扰动项的Gerdjikov-Ivanov方程的分岔和精确行波解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-05-01 DOI: 10.57262/ade/1589594420
Wen-Hui Zhu, Yonghui Xia, Yuzhen Bai
{"title":"Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms","authors":"Wen-Hui Zhu, Yonghui Xia, Yuzhen Bai","doi":"10.57262/ade/1589594420","DOIUrl":"https://doi.org/10.57262/ade/1589594420","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48396851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Infinitely many solutions for a class of superlinear problems involving variable exponents 一类涉及变指数的超线性问题的无穷多个解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-03-01 DOI: 10.57262/ade/1584756039
B. Ge, Liyan Wang
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引用次数: 3
On ground state of fractional spinor Bose Einstein condensates 分数旋量玻色-爱因斯坦凝聚态的基态
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-03-01 DOI: 10.57262/ade/1584756036
D. Cao, Jinchun He, Haoyuan Xu, Meihua Yang
{"title":"On ground state of fractional spinor Bose Einstein condensates","authors":"D. Cao, Jinchun He, Haoyuan Xu, Meihua Yang","doi":"10.57262/ade/1584756036","DOIUrl":"https://doi.org/10.57262/ade/1584756036","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49220969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain 外域上一个指定平均曲率问题径向正解的分岔
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-03-01 DOI: 10.57262/ade/1584756038
Rui Yang, Yong-Hoon Lee
{"title":"Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain","authors":"Rui Yang, Yong-Hoon Lee","doi":"10.57262/ade/1584756038","DOIUrl":"https://doi.org/10.57262/ade/1584756038","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46469562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Solutions to upper critical fractional Choquard equations with potential 具有势的上临界分数阶Choquard方程的解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-03-01 DOI: 10.57262/ade/1584756037
Xinfu Li, Shiwang Ma, Guang Zhang
{"title":"Solutions to upper critical fractional Choquard equations with potential","authors":"Xinfu Li, Shiwang Ma, Guang Zhang","doi":"10.57262/ade/1584756037","DOIUrl":"https://doi.org/10.57262/ade/1584756037","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46061139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 8
Erratum to “Navier–Stokes equations in a curved thin domain, Part III: thin-film limit” “弯曲薄域中的Navier-Stokes方程，第三部分：薄膜极限”勘误表
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-02-15 DOI: 10.57262/ade028-0304-341
Tatsuya Miura
{"title":"Erratum to “Navier–Stokes equations in a curved thin domain, Part III: thin-film limit”","authors":"Tatsuya Miura","doi":"10.57262/ade028-0304-341","DOIUrl":"https://doi.org/10.57262/ade028-0304-341","url":null,"abstract":"We consider the Navier-Stokes equations with Navier's slip boundary conditions in a three-dimensional curved thin domain around a given closed surface. Under suitable assumptions we show that the average in the thin direction of a strong solution to the bulk Navier-Stokes equations converges weakly in appropriate function spaces on the limit surface as the thickness of the thin domain tends to zero. Moreover, we characterize the limit as a weak solution to limit equations, which are the damped and weighted Navier-Stokes equations on the limit surface. We also prove the strong convergence of the average of a strong solution to the bulk equations towards a weak solution to the limit equations by showing estimates for the difference between them. In some special case our limit equations agree with the Navier-Stokes equations on a Riemannian manifold in which the viscous term contains the Ricci curvature. This is the first result on a rigorous derivation of the surface Navier-Stokes equations on a general closed surface by the thin-film limit.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44746848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 5
Constrained semilinear elliptic systems on $mathbb R^N$ $mathbb R^N$上的约束半线性椭圆系统
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-01-20 DOI: 10.57262/ade026-0910-459
W. Kryszewski, Jakub Siemianowski
{"title":"Constrained semilinear elliptic systems on $mathbb R^N$","authors":"W. Kryszewski, Jakub Siemianowski","doi":"10.57262/ade026-0910-459","DOIUrl":"https://doi.org/10.57262/ade026-0910-459","url":null,"abstract":"We prove the existence of solutions $u$ in $H^1(mathbb{R}^N,mathbb{R}^M)$ of the following strongly coupled semilinear system of second order elliptic PDEs on $mathbb{R}^N$ [ mathcal{P}[u] = f(x,u,nabla u), quad xin mathbb{R}^N, ] whith pointwise constraints. We present the construction of the suitable topoligical degree which allows us to solve the above system on bounded domains. The key step in the proof consists of showing that the sequence of solutions of the truncated system is compact in $H^1$ by the use of the so-called tail estimates.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45531718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dissipative reaction diffusion systems with polynomial growth 多项式生长的耗散反应扩散系统
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-01-01 DOI: 10.57262/ade/1580958059
Takashi Suzuki
{"title":"Dissipative reaction diffusion systems with polynomial growth","authors":"Takashi Suzuki","doi":"10.57262/ade/1580958059","DOIUrl":"https://doi.org/10.57262/ade/1580958059","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48307809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Large time asymptotics for the fractional nonlinear Schrödinger equation 分数阶非线性Schrödinger方程的大时间渐近性
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2020-01-01 DOI: 10.57262/ade/1580958058
N. Hayashi, P. Naumkin
{"title":"Large time asymptotics for the fractional nonlinear Schrödinger equation","authors":"N. Hayashi, P. Naumkin","doi":"10.57262/ade/1580958058","DOIUrl":"https://doi.org/10.57262/ade/1580958058","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44153800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 6
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