发布求助
文献互助 智能选刊 最新文献

Electronic Journal of Differential Equations最新文献

筛选
英文 中文
Multiplicity of solutions for a generalized Kadomtsev-Petviashvili equation with potential in R^2 具有R^2位的广义Kadomtsev-Petviashvili方程解的多重性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-07-17 DOI: 10.58997/ejde.2023.48
Zheng Xie, Jing Chen
{"title":"Multiplicity of solutions for a generalized Kadomtsev-Petviashvili equation with potential in R^2","authors":"Zheng Xie, Jing Chen","doi":"10.58997/ejde.2023.48","DOIUrl":"https://doi.org/10.58997/ejde.2023.48","url":null,"abstract":"In this article, we study the generalized Kadomtsev-Petviashvili equation witha potential $$ (-u_{xx}+D_{x}^{-2}u_{yy}+V(varepsilon x,varepsilon y)u-f(u))_{x}=0quad text{in }mathbb{R}^2, $$ where (D_{x}^{-2}h(x,y)=int_{-infty }^{x}int_{-infty }^{t}h(s,y),ds,dt ), (f) is a nonlinearity, (varepsilon) is a small positive parameter, and the potential (V) satisfies a local condition. We prove the existence of nontrivial solitary waves for the modified problem by applying penalization techniques. The relationship between the number of positive solutions and the topology of the set where (V) attains its minimum is obtained by using Ljusternik-Schnirelmann theory. With the help of Moser's iteration method, we verify that the solutions of the modified problem are indeed solutions of the original  roblem for (varepsilon>0) small enough.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45875334","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
Stochastic Burgers equations with fractional derivative driven by fractional noise 分数噪声驱动的分数阶导数随机Burgers方程
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-07-17 DOI: 10.58997/ejde.2023.49
Yubo Duan, Yiming Jiang, Yang Tian, Yawei Wei
{"title":"Stochastic Burgers equations with fractional derivative driven by fractional noise","authors":"Yubo Duan, Yiming Jiang, Yang Tian, Yawei Wei","doi":"10.58997/ejde.2023.49","DOIUrl":"https://doi.org/10.58997/ejde.2023.49","url":null,"abstract":"by fractional noise. Existence and uniqueness of a mild solution is given bya fixed point argument. Then, we explore Holder regularity of the mildsolution in (C([0,T_{*}];L^p(Omega;dot{H}^{gamma}))) for some stoppingtime (T_{*}).","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47524717","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
Existence of at least four solutions for Schrodinger equations with magnetic potential involving and sign-changing weight function 含磁势和变号权函数的薛定谔方程至少四个解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-07-11 DOI: 10.58997/ejde.2023.47
Francisco Odair de Paiva, Sandra Machado de Souza Lima, O. Miyagaki
{"title":"Existence of at least four solutions for Schrodinger equations with magnetic potential involving and sign-changing weight function","authors":"Francisco Odair de Paiva, Sandra Machado de Souza Lima, O. Miyagaki","doi":"10.58997/ejde.2023.47","DOIUrl":"https://doi.org/10.58997/ejde.2023.47","url":null,"abstract":"We consider the elliptic problem $$ - Delta_A u + u = a_{lambda}(x) |u|^{q-2}u+b_{mu}(x) |u|^{p-2}u , $$ for (x in mathbb{R}^N), ( 1 < q < 2 < p < 2^*= 2N/(N-2)), (a_{lambda}(x)) is a sign-changing weight function, (b_{mu}(x)) satisfies some additional conditions, (u in H^1_A(mathbb{R}^N)) and (A:mathbb{R}^N to mathbb{R}^N) is a magnetic potential. Exploring the Bahri-Li argument and some preliminary results we will discuss the existence of a four nontrivial solutions to the problem in question.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46765733","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
Asymptotic behavior of blowup solutions for Henon type parabolic equations with exponential nonlinearity 具有指数非线性的Henon型抛物型方程爆破解的渐近性质
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-07-09 DOI: 10.58997/ejde.2022.42
Caihong Chang, Zhengce Zhang
{"title":"Asymptotic behavior of blowup solutions for Henon type parabolic equations with exponential nonlinearity","authors":"Caihong Chang, Zhengce Zhang","doi":"10.58997/ejde.2022.42","DOIUrl":"https://doi.org/10.58997/ejde.2022.42","url":null,"abstract":"This article concerns the blow up behavior for the Henon type parabolic equation withexponential nonlinearity, $$ u_t=Delta u+|x|^{sigma}e^uquad text{in } B_Rtimes mathbb{R}_+, $$ where (sigmageq 0) and (B_R={xinmathbb{R}^N: |x|<R}).We consider all cases in which blowup of solutions occurs, i.e. (Ngeq 10+4sigma).Grow up rates are established by a certain matching of different asymptotic behaviorsin the inner region (near the singularity) and the outer region (close to the boundary).For the cases (N>10+4sigma) and (N=10+4sigma), the asymptotic expansions of stationary solutions have different forms, so two cases are discussed separately. Moreover, different inner region widths in two cases are also obtained.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48470912","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
Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem 一个分数阶p-Laplace椭圆Dirichlet问题解的存在性和多重性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-07-03 DOI: 10.58997/ejde.2023.46
Fariba Gharehgazlouei, J. Graef, S. Heidarkhani, L. Kong
{"title":"Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem","authors":"Fariba Gharehgazlouei, J. Graef, S. Heidarkhani, L. Kong","doi":"10.58997/ejde.2023.46","DOIUrl":"https://doi.org/10.58997/ejde.2023.46","url":null,"abstract":"In this article, the authors consider a fractional p-Laplacian elliptic Dirichlet problem. Using critical point theory and the variational method, they investigate the existence of at least one, two, and three solutions to the problem. Examples illustrating the results are interspaced in the paper.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47168386","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
Oscillation criteria for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term 具有超线性中立项的非正则二阶非线性时滞差分方程的振动判据
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-06-29 DOI: 10.58997/ejde.2023.45
K. Vidhyaa, E. Thandapani, J. Alzabut, Abdullah Ozbekler
{"title":"Oscillation criteria for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term","authors":"K. Vidhyaa, E. Thandapani, J. Alzabut, Abdullah Ozbekler","doi":"10.58997/ejde.2023.45","DOIUrl":"https://doi.org/10.58997/ejde.2023.45","url":null,"abstract":"We obtain oscillation conditions for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term. To cope with non-canonical types of equations, we propose new oscillation criteria for the main equation when the neutral coefficient does not satisfy any of the conditions that call it to either converge to (0) or (infty). Our approach differs from others in that we first turn into the non-canonical equation to a canonical form and as a result, we only require one condition to weed out non-oscillatory solutions in order to induce oscillation. The conclusions made here are new and have been condensed significantly from those found in the literature. For the sake of confirmation, we provide examplesthat cannot be included in earlier works.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45381927","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
Exponential stability for porous thermoelastic systems with Gurtin-Pipkin flux Gurtin-Pipkin通量多孔热弹性系统的指数稳定性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-06-28 DOI: 10.58997/ejde.2023.44
Jianghao Hao, Jing Yang
{"title":"Exponential stability for porous thermoelastic systems with Gurtin-Pipkin flux","authors":"Jianghao Hao, Jing Yang","doi":"10.58997/ejde.2023.44","DOIUrl":"https://doi.org/10.58997/ejde.2023.44","url":null,"abstract":"In this article, we study the stability of a porous thermoelastic system with Gurtin-Pipkin flux. Under suitable assumptions for the derivative of the heat flux relaxation kernel, we establish the existence and uniqueness of solution by applying the semigroup theory, and prove the exponential stability of system without considering the wave velocity by the means of estimates of the resolvent","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49104401","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
Solutions of complex nonlinear functional equations including second order partial differential and difference in C^2 C^2中包含二阶偏微分和差分的复非线性函数方程的解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-06-26 DOI: 10.58997/ejde.2023.43
H. Xu, Goutam Haldar
{"title":"Solutions of complex nonlinear functional equations including second order partial differential and difference in C^2","authors":"H. Xu, Goutam Haldar","doi":"10.58997/ejde.2023.43","DOIUrl":"https://doi.org/10.58997/ejde.2023.43","url":null,"abstract":"This article is devoted to exploring the existence and the form of finite order transcendental entire solutions of Fermat-type second order partial differential-difference equations $$ Big(frac{partial^2 f}{partial z_1^2}+deltafrac{partial^2 f}{partial z_2^2} +etafrac{partial^2 f}{partial z_1partial z_2}Big)^2 +f(z_1+c_1,z_2+c_2)^2=e^{g(z_1,z_2)} $$ and $$ Big(frac{partial^2 f}{partial z_1^2}+deltafrac{partial^2 f}{partial z_2^2} +etafrac{partial^2 f}{partial z_1partial z_2}Big)^2+(f(z_1+c_1,z_2+c_2) -f(z_1,z_2))^2=e^{g(z)}, $$ where (delta,etainmathbb{C}) and (g(z_1,z_2)) is a polynomial in (mathbb{C}^2). Our results improve the results of Liu and Dong [23] Liu et al. [24] and Liu and Yang [25] Several examples confirm that the form of tr","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41530039","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
Viscosity solutions to the infinity Laplacian equation with lower terms 无穷低项拉普拉斯方程的粘度解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-06-25 DOI: 10.58997/ejde.2023.42
Cuicui Li, Fang Liu
{"title":"Viscosity solutions to the infinity Laplacian equation with lower terms","authors":"Cuicui Li, Fang Liu","doi":"10.58997/ejde.2023.42","DOIUrl":"https://doi.org/10.58997/ejde.2023.42","url":null,"abstract":"We establish the existence and uniqueness of viscosity solutions tothe Dirichlet problem $$displaylines{ Delta_infty^h u=f(x,u), quad hbox{in } Omega,cr u=q, quadhbox{on }partialOmega,}$$ where (qin C(partialOmega)), (h>1), (Delta_infty^h u=|Du|^{h-3}Delta_infty u). The operator (Delta_infty u=langle D^2uDu,Du rangle) is the infinity Laplacian which is strongly degenerate, quasilinear and it is associated with the absolutely minimizing Lipschitz extension. When the nonhomogeneous term (f(x,t)) is non-decreasing in (t), we prove the existence of the viscosity solution via Perron's method. We also establish a uniqueness result based on the perturbation analysis of the viscosity solutions. If the function (f(x,t)) is nonpositive (nonnegative) and non-increasing in (t), we also give the existence of viscosity solutions by an iteration technique under the condition that the domain has small diameter. Furthermore, we investigate the existence and uniqueness of viscosity solutions to the boundary-value problem with singularity $$displaylines{ Delta_infty^h u=-b(x)g(u), quad hbox{in } Omega, cr u>0, quad hbox{in } Omega, cr u=0, quad hbox{on }partialOmega, }$$ when the domain satisfies some regular condition. We analyze asymptotic estimates for the viscosity solution near the boundary.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42021349","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
Space-time decay rates of a two-phase flow model with magnetic field in R^3 磁场作用下R^3两相流模型的时空衰减率
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-06-23 DOI: 10.58997/ejde.2023.41
Qin Ye, Yinghui Zhang
{"title":"Space-time decay rates of a two-phase flow model with magnetic field in R^3","authors":"Qin Ye, Yinghui Zhang","doi":"10.58997/ejde.2023.41","DOIUrl":"https://doi.org/10.58997/ejde.2023.41","url":null,"abstract":"We investigate the space-time decay rates of strong solution to a two-phase flow model with magnetic field in the whole space (mathbb{R}^3 ). Based on the temporal decay results by Xiao [24] we show that for any integer (ellgeq 3), the space-time decay rate of (k(0leq k leq ell))-order spatial derivative of the strong solution in the weighted Lebesgue space ( L_gamma^2 ) is (t^{-frac{3}{4}-frac{k}{2}+gamma}). Moreover, we prove that the space-time decay rate of (k(0leq k leq ell-2))-order spatial derivative of the difference between two velocities of the fluid in the weighted Lebesgue space ( L_gamma^2 ) is (t^{-frac{5}{4}-frac{k}{2}+gamma}), which is faster than ones of the two velocities themselves.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41782775","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
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