发布求助
文献互助 智能选刊 最新文献

Advances in Differential Equations最新文献

筛选
英文 中文
Hénon type equations with jumping nonlinearities involving critical growth 具有临界增长跳跃非线性的Hénon型方程
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-11-01 DOI: 10.57262/ade/1571731545
Eudes Barboza, Ó. JoãoMarcosdo, Bruno Ribeiro
{"title":"Hénon type equations with jumping nonlinearities involving critical growth","authors":"Eudes Barboza, Ó. JoãoMarcosdo, Bruno Ribeiro","doi":"10.57262/ade/1571731545","DOIUrl":"https://doi.org/10.57262/ade/1571731545","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45749721","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
A note on deformation argument for $L^2$ normalized solutions of nonlinear Schrödinger equations and systems 非线性Schrödinger方程和系统的L^2规格化解的变形论证
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-11-01 DOI: 10.57262/ade/1571731543
N. Ikoma, Kazunaga Tanaka
{"title":"A note on deformation argument for $L^2$ normalized solutions of nonlinear Schrödinger equations and systems","authors":"N. Ikoma, Kazunaga Tanaka","doi":"10.57262/ade/1571731543","DOIUrl":"https://doi.org/10.57262/ade/1571731543","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48837939","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: 58
Stokes System & Uniform Trace for BMO-Q Stokes系统与BMO-Q的一致迹
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-09-01 DOI: 10.57262/ade/1565661668
J. Xiao, Dachun Yang, Junjie Zhang, Yuan Zhou
{"title":"Stokes System & Uniform Trace for BMO-Q","authors":"J. Xiao, Dachun Yang, Junjie Zhang, Yuan Zhou","doi":"10.57262/ade/1565661668","DOIUrl":"https://doi.org/10.57262/ade/1565661668","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44913201","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
Bubbling solutions for a planar exponential nonlinear elliptic equation with a singular source 一类奇异源平面指数非线性椭圆型方程的气泡解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-08-15 DOI: 10.57262/ade027-0304-147
Jingyi Dong, Jiamei Hu, Yibin Zhang
{"title":"Bubbling solutions for a planar exponential nonlinear elliptic equation with a singular source","authors":"Jingyi Dong, Jiamei Hu, Yibin Zhang","doi":"10.57262/ade027-0304-147","DOIUrl":"https://doi.org/10.57262/ade027-0304-147","url":null,"abstract":"Let $Omega$ be a bounded domain in $mathbb{R}^2$ with smooth boundary, we study the following elliptic Dirichlet problem begin{equation*} aligned left{aligned &-Deltaupsilon= e^{upsilon}-sphi_1-4pialphadelta_p-h(x),,,, ,textrm{in},,,,,Omega,[2mm] &upsilon=0 quadquadquadquadquadquad quadqquadqquadquadquad, textrm{on}, ,partialOmega, endalignedright. endaligned end{equation*} where $s>0$ is a large parameter, $hin C^{0,gamma}(overline{Omega})$, $pinOmega$, $alphain(-1,+infty)setminusmathbb{N}$, $delta_p$ denotes the Dirac measure supported at point $p$ and $phi_1$ is a positive first eigenfunction of the problem $-Deltaphi=lambdaphi$ under Dirichlet boundary condition in $Omega$. If $p$ is a strict local maximum point of $phi_1$, we show that such a problem has a family of solutions $upsilon_s$ with arbitrary $m$ bubbles accumulating to $p$, and the quantity $int_{Omega}e^{upsilon_s}rightarrow8pi(m+1+alpha)phi_1(p)$ as $srightarrow+infty$.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42768465","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
On the Kirchhoff type equations in $mathbb{R}^{N}$ 关于$mathbb｛R｝^｛N｝中的Kirchhoff型方程$
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-08-04 DOI: 10.57262/ade027-0304-97
Juntao Sun, Tsung‐fang Wu
{"title":"On the Kirchhoff type equations in $mathbb{R}^{N}$","authors":"Juntao Sun, Tsung‐fang Wu","doi":"10.57262/ade027-0304-97","DOIUrl":"https://doi.org/10.57262/ade027-0304-97","url":null,"abstract":"Consider a nonlinear Kirchhoff type equation as follows begin{equation*} left{ begin{array}{ll} -left( aint_{mathbb{R}^{N}}|nabla u|^{2}dx+bright) Delta u+u=f(x)leftvert urightvert ^{p-2}u & text{ in }mathbb{R}^{N}, uin H^{1}(mathbb{R}^{N}), & end{array}% right. end{equation*}% where $Ngeq 1,a,b>0,2<p<min left{ 4,2^{ast }right}$($2^{ast }=infty $ for $N=1,2$ and $2^{ast }=2N/(N-2)$ for $Ngeq 3)$ and the function $fin C(mathbb{R}^{N})cap L^{infty }(mathbb{R}^{N})$. Distinguishing from the existing results in the literature, we are more interested in the geometric properties of the energy functional related to the above problem. Furthermore, the nonexistence, existence, unique and multiplicity of positive solutions are proved dependent on the parameter $a$ and the dimension $N.$ In particular, we conclude that a unique positive solution exists for $1leq Nleq4$ while at least two positive solutions are permitted for $Ngeq5$.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47582051","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
The Dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries 具有非局部扩散和自由边界的Lotka-Volterra竞争模型动力学
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-05-23 DOI: 10.57262/ade026-0304-163
Jia-Feng Cao, Wan-Tong Li, Jie Wang
{"title":"The Dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries","authors":"Jia-Feng Cao, Wan-Tong Li, Jie Wang","doi":"10.57262/ade026-0304-163","DOIUrl":"https://doi.org/10.57262/ade026-0304-163","url":null,"abstract":"This paper is concerned with a nonlocal diffusion Lotka-Volterra type competition model that consisting of a native species and an invasive species in a one-dimensional habitat with free boundaries. We prove the well-posedness of the system and get a spreading-vanishing dichotomy for the invasive species. We also provide some sufficient conditions to ensure spreading success or spreading failure for the case that the invasive species is an inferior competitor or a superior competitor, respectively.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41336816","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: 14
Asymptotics for logistic-type equations with Dirichlet fractional Laplace operator 具有Dirichlet分数阶拉普拉斯算子的logistic型方程的渐近性
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-05-05 DOI: 10.57262/ade028-0304-169
Tomasz Klimsiak
{"title":"Asymptotics for logistic-type equations with Dirichlet fractional Laplace operator","authors":"Tomasz Klimsiak","doi":"10.57262/ade028-0304-169","DOIUrl":"https://doi.org/10.57262/ade028-0304-169","url":null,"abstract":"We study the asymptotics of solutions of logistic type equations with fractional Laplacian as time goes to infinity and as the exponent in nonlinear part goes to infinity. We prove strong convergence of solutions in the energy space and uniform convergence to the solution of an obstacle problem. As a by-product, we also prove the cut-off property for eigenvalues of the Dirichlet fractional Laplace operator perturbed by exploding potentials.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47014833","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: 2
Non-uniform dependence on initial data for equations of Whitham type Whitham型方程对初始数据的非一致依赖
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-05-01 DOI: 10.57262/ade/1554256825
Mathias Nikolai Arnesen
{"title":"Non-uniform dependence on initial data for equations of Whitham type","authors":"Mathias Nikolai Arnesen","doi":"10.57262/ade/1554256825","DOIUrl":"https://doi.org/10.57262/ade/1554256825","url":null,"abstract":"We consider the Cauchy problem ∂tu + u∂xu + L(∂xu) = 0, u(0, x) = u0(x) on the torus and on the real line for a class of Fourier multiplier operators L, and prove that the solution map u0 7→ u(t) is not uniformly continuous in H(T) or H(R) for s > 3 2 . Under certain assumptions, the result also hold for s > 0. The class of equations considered includes in particular the Whitham equation and fractional Korteweg-de Vries equations and we show that, in general, the flow map cannot be uniformly continuous if the dispersion of L is weaker than that of the KdV operator. The result is proved by constructing two sequences of solutions converging to the same limit at the initial time, while the distance at a later time is bounded below by a positive constant.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45899588","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
$L^2$ representations of the Second Variation and Łojasiewicz-Simon gradient estimates for a decomposition of the Möbius energy $L^2$表示第二次变化和Möbius能量分解的Łojasiewicz-Simon梯度估计
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-05-01 DOI: 10.57262/ade/1554256827
Katsunori Gunji
{"title":"$L^2$ representations of the Second Variation and Łojasiewicz-Simon gradient estimates for a decomposition of the Möbius energy","authors":"Katsunori Gunji","doi":"10.57262/ade/1554256827","DOIUrl":"https://doi.org/10.57262/ade/1554256827","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43854579","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: 2
On a global supersonic-sonic patch characterized by 2-D steady full Euler equations 二维稳定全欧拉方程表征的全局声速-声速贴片
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2019-04-10 DOI: 10.57262/ade/1589594418
Yan-bo Hu, Jiequan Li
{"title":"On a global supersonic-sonic patch characterized by 2-D steady full Euler equations","authors":"Yan-bo Hu, Jiequan Li","doi":"10.57262/ade/1589594418","DOIUrl":"https://doi.org/10.57262/ade/1589594418","url":null,"abstract":"Supersonic-sonic patches are ubiquitous in regions of transonic flows and they boil down to a family of degenerate hyperbolic problems in regions surrounded by a streamline, a characteristic curve and a possible sonic curve. This paper establishes the global existence of solutions in a whole supersonic-sonic patch characterized by the two-dimensional full system of steady Euler equations and studies solution behaviors near sonic curves, depending on the proper choice of boundary data extracted from the airfoil problem and related contexts. New characteristic decompositions are developed for the full system and a delicate local partial hodograph transformation is introduced for the solution estimates. It is shown that the solution is uniformly $C^{1,frac{1}{6}}$ continuous up to the sonic curve and the sonic curve is also $C^{1,frac{1}{6}}$ continuous.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41508427","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: 13
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信