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
Positive solutions for singular (p,q)-Laplacian equations with negative perturbation 负摄动奇异(p,q)-拉普拉斯方程的正解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-06 DOI: 10.58997/ejde.2023.25
Nikolaos S. Papageorgiou, C. Vetro, F. Vetro
{"title":"Positive solutions for singular (p,q)-Laplacian equations with negative perturbation","authors":"Nikolaos S. Papageorgiou, C. Vetro, F. Vetro","doi":"10.58997/ejde.2023.25","DOIUrl":"https://doi.org/10.58997/ejde.2023.25","url":null,"abstract":"We consider a nonlinear Dirichlet problem driven by the  -Laplacian and with a reaction consisting of a singular term plus a negative perturbation. Using regularization of the singular term and truncation and comparison techniques, we show that the problem has a unique positive smooth solution.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43705759","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
Blow-up criteria and instability of standing waves for the fractional Schrodinger Poisson equation 分数阶薛定谔泊松方程驻波的爆破判据和不稳定性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-06 DOI: 10.58997/ejde.2023.24
Yi-Na Mo, Min Zhu, Binhua Feng
{"title":"Blow-up criteria and instability of standing waves for the fractional Schrodinger Poisson equation","authors":"Yi-Na Mo, Min Zhu, Binhua Feng","doi":"10.58997/ejde.2023.24","DOIUrl":"https://doi.org/10.58997/ejde.2023.24","url":null,"abstract":"In this article, we consider blow-up criteria and instability of standing waves for the fractional Schrodinger-Poisson equation. By using the localized virial estimates, we establish the blow-up criteria for non-radial solutions in both mass-critical and mass-supercritical cases. Based on these blow-up criteria and three variational characterizations of the ground state, we prove that the standing waves are strongly unstable. These obtained results extend the corresponding ones presented in the literature.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46801266","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
Prescribed energy saddle-point solutions of nonlinear indefinite problems 非线性不定问题的规定能量鞍点解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-04 DOI: 10.58997/ejde.2023.23
Y. Il'yasov, E. D. Da Silva, Maxwell Lizete Da Silva
{"title":"Prescribed energy saddle-point solutions of nonlinear indefinite problems","authors":"Y. Il'yasov, E. D. Da Silva, Maxwell Lizete Da Silva","doi":"10.58997/ejde.2023.23","DOIUrl":"https://doi.org/10.58997/ejde.2023.23","url":null,"abstract":"A minimax variational method for finding mountain pass-type solutions with prescribed energy levels is introduced. The method is based on application of the Linking Theorem to the energy-level nonlinear Rayleigh quotients which critical points correspond to the solutions of the equation with prescribed energy. An application of the method to nonlinear indefinite elliptic problems with nonlinearities that does not satisfy the Ambrosetti-Rabinowitz growth conditions is also presented.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47662739","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
Hyers-Ulam stability of linear quaternion-valued differential equations 线性四元数值微分方程的Hyers-Ulam稳定性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-02-27 DOI: 10.58997/ejde.2023.21
Jiaojiao Lv, Jinrong Wang, R. Liu
{"title":"Hyers-Ulam stability of linear quaternion-valued differential equations","authors":"Jiaojiao Lv, Jinrong Wang, R. Liu","doi":"10.58997/ejde.2023.21","DOIUrl":"https://doi.org/10.58997/ejde.2023.21","url":null,"abstract":"In this article, we study the Hyers-Ulam stability of the first-order linear quaternion-valued differential equations. We transfer a linear quaternion-valued differential equation into a real differential system. The Hyers-Ulam stability results for the linear quaternion-valued differential equations are obtained according to the equivalent relationship between the vector 2-norm and the quaternion module.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47572390","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
Stochastic attractor bifurcation for the two-dimensional Swift-Hohenberg equation with multiplicative noise 带乘性噪声的二维Swift-Hohenberg方程的随机吸引子分岔
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-02-27 DOI: 10.58997/ejde.2023.20
Qingkun Xiao, Hongjun Gao
{"title":"Stochastic attractor bifurcation for the two-dimensional Swift-Hohenberg equation with multiplicative noise","authors":"Qingkun Xiao, Hongjun Gao","doi":"10.58997/ejde.2023.20","DOIUrl":"https://doi.org/10.58997/ejde.2023.20","url":null,"abstract":"This article concerns the dynamical transitions of the stochastic Swift-Hohenberg equation with multiplicative noise on a two-dimensional domain (-L,L) times (-L, L). With α and L regarded as parameters, we show that the approximate reduced system corresponding to the invariant manifold undergoes a stochastic pitchfork bifurcation near the critical points, and the impact of noise on stochastic bifurcation of the Swift-Hohenberg equation. We find the approximation representation of the manifold and the corresponding reduced systems for stochastic Swift-Hohenberg equation when L2 and √2L1 are close together.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135996395","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
Non-radial normalized solutions for a nonlinear Schrodinger equation 一类非线性薛定谔方程的非径向归一化解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-02-27 DOI: 10.58997/ejde.2023.19
Zhicheng Tong, Jianqing Chen, Zhi-Qiang Wang
{"title":"Non-radial normalized solutions for a nonlinear Schrodinger equation","authors":"Zhicheng Tong, Jianqing Chen, Zhi-Qiang Wang","doi":"10.58997/ejde.2023.19","DOIUrl":"https://doi.org/10.58997/ejde.2023.19","url":null,"abstract":"This article concerns the existence of multiple non-radial positive solutions of the L2-constrained problem $$displaylines{-Delta{u}-Q(varepsilon x)|u|^{p-2}u=lambda{u},quad text{in }mathbb{R}^N, int_{mathbb{R}^N}|u|^2dx=1,}$$ where (Q(x)) is a radially symmetric function, ε>0 is a small parameter, (Ngeq 2), and (p in (2, 2+4/N)) is assumed to be mass sub-critical. We are interested in the symmetry breaking of the normalized solutions and we prove the existence of multiple non-radial positive solutions as local minimizers of the energy functional.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42587629","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
Estimation of plate parameters from vertical displacement data using a family of plate models 利用一系列板块模型从垂直位移数据估计板块参数
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-02-17 DOI: 10.58997/ejde.2023.15
L. White, T. Malysheva, L. Karlstrom
{"title":"Estimation of plate parameters from vertical displacement data using a family of plate models","authors":"L. White, T. Malysheva, L. Karlstrom","doi":"10.58997/ejde.2023.15","DOIUrl":"https://doi.org/10.58997/ejde.2023.15","url":null,"abstract":"We develop a method for estimation of parameters of an elastic plate resting on a Winkler-type elastic foundation solely from data on the vertical displacements of the plate. The method allows one to estimate components of the external body force density field, plate thickness, elastic foundation stiffness parameters, horizontal displacements of the plate, and stresses. The key idea of the method is that multiple plate models are used simultaneously, namely the proposed reduced three-dimensional (R3D) plate model, the Mindlin plate model, and the thin plate model. The three plate models form a hierarchy of elastic plate models based on assumptions imposed on stresses, with the R3D plate model being the most generalized model and the thin plate model being the most constrained one. The hierarchical relationship among the plate models allows one to incorporate prior information into the estimation technique. The applicability of the proposed estimation method is illustrated by a numerical example.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48236761","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
Nonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian 分数阶拉普拉斯狄利克雷问题非平凡解的不存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-02-17 DOI: 10.58997/ejde.2023.16
José Carmona, A. Molino
{"title":"Nonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian","authors":"José Carmona, A. Molino","doi":"10.58997/ejde.2023.16","DOIUrl":"https://doi.org/10.58997/ejde.2023.16","url":null,"abstract":"In this article we prove that there are no nontrivial solutions tothe Dirichlet problem for the fractional Laplacian$$ displaylines{(-Delta)^s u =f(u) quad text{in }Omega, u=0 quad text{in } mathbb{R}^N backslash Omega,}$$ where  (Omega subset mathbb{R}^N) ((Ngeq 1)) is a bounded domain, and f is locally Lipschitz with non-positive primitive (F(t)= int_0^t f(tau)dtau).","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45981136","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 results for supercritical nonlocal Kirchhoff problem 超临界非局部Kirchhoff问题的存在性和多重性结果
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-02-15 DOI: 10.58997/ejde.2023.14
G. Anello
{"title":"Existence and multiplicity results for supercritical nonlocal Kirchhoff problem","authors":"G. Anello","doi":"10.58997/ejde.2023.14","DOIUrl":"https://doi.org/10.58997/ejde.2023.14","url":null,"abstract":"We study the existence and multiplicity of solutions for the nonlocalperturbed Kirchhoff problem$$displaylines{-Big(a+bint_Omega |nabla u|^2,dxBig)Delta u=lambda g(x,u)+f(x,u), quad text{in } Omega, u=0, quadtext{on }partialOmega,}$$ where Ω is a bounded smooth domain in  (mathbb{R}^N), (N>4),  (a,b, lambda > 0), and  (f,g:Omegatimes mathbb{R}to mathbb{R})  are Caratheodory functions, with (f) subcritical, and (g) of arbitrary growth. This paper is motivated by a recent results by Faraci and Silva [4] where existence and multiplicity results were obtained when g is subcritical and f is a power-type function withcritical exponent.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48445767","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 nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials 具有不定势的薛定谔-基尔霍夫方程非平凡解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-02-10 DOI: 10.58997/ejde.2023.13
Shuai Jiang, Li Yin
{"title":"Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials","authors":"Shuai Jiang, Li Yin","doi":"10.58997/ejde.2023.13","DOIUrl":"https://doi.org/10.58997/ejde.2023.13","url":null,"abstract":"We consider a class of Schrodinger-Kirchhoff equations in R3 with a general nonlinearity g and coercive sign-changing potential V so that the Schrodinger operator -aΔ +V is indefinite. The nonlinearity considered here satisfies the Ambrosetti-Rabinowitz type condition g(t)t≥μ G(t)>0 with μ>3. We obtain the existence of nontrivial solutions for this problem via Morse theory.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43120922","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