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Electronic Journal of Differential Equations最新文献

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Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic 用区间算法对p-拉普拉斯算子的主特征值进行数值估计
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI: 10.58997/ejde.sp.02.b3
Jirí Benedikt, J. Půlpán
{"title":"Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic","authors":"Jirí Benedikt, J. Půlpán","doi":"10.58997/ejde.sp.02.b3","DOIUrl":"https://doi.org/10.58997/ejde.sp.02.b3","url":null,"abstract":"We present a numerical algorithm for computing rigorous upper and lower estimates of the principal eigenvalue of the p-Laplacian.  To control all possible errors including the rounding errors of the computer arithmetic, we use the interval arithmetic. We implement our algorithm in the Julia  programming language using  IntervalArithmetic.jl package [12].\u0000See also https://ejde.math.txstate.edu/special/02/b3/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42977989","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
Spectral theory of C-symmetric non-selfadjoint differential operators of order 2n 2n阶c对称非自伴随微分算子的谱理论
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI: 10.58997/ejde.sp.02.b2
H. Behncke, D. Hinton
{"title":"Spectral theory of C-symmetric non-selfadjoint differential operators of order 2n","authors":"H. Behncke, D. Hinton","doi":"10.58997/ejde.sp.02.b2","DOIUrl":"https://doi.org/10.58997/ejde.sp.02.b2","url":null,"abstract":"We continue the spectral analysis of differential operators with complex coefficients, extending some results for Sturm-Liouville operators to higher order operators. We give conditions for the essential spectrum to be empty, and for the operator to have compact resolvent. Conditions are given on the coefficients for the resolvent to be Hilbert-Schmidt. These conditions are new even for real coefficients, i.e., the selfadjoint case. Asymptotic analysis is a central tool.\u0000See also https://ejde.math.txstate.edu/special/02/b2/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47573190","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 positive global radial solutions to nonlinear elliptic systems 非线性椭圆型系统正整体径向解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI: 10.58997/ejde.sp.02.p1
S. Padhi, J. Dix
{"title":"Existence of positive global radial solutions to nonlinear elliptic systems","authors":"S. Padhi, J. Dix","doi":"10.58997/ejde.sp.02.p1","DOIUrl":"https://doi.org/10.58997/ejde.sp.02.p1","url":null,"abstract":"In this article we obtain global positive and radially symmetric solutions to the system of nonlinear elliptic equations $$ operatorname{div}big(phi_j(|nabla u|) nabla ubig) +a_j(x)phi_j(|nabla u|) |nabla u| =p_j(x)f_j(u_1(x),dots,u_k(x)),, $$ and in particular to Laplace's equation $$ Delta u_j(x) =p_j(x)f_j(u_1(x),dots,u_k(x)),, $$ where (j=1,dots,k), ( xinmathbb{R}^N), (Ngeq 3), (Delta ) is the Laplacian operator, and (nabla) is the gradient. Also we state conditions for solutions to be bounded, and to be unbounded. With an example we illustrate our results.\u0000See also https://ejde.math.txstate.edu/special/02/p1/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49091611","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
Remarks on compactness conditions and their application 关于压实度条件及其应用的注记
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI: 10.58997/ejde.sp.02.c3
D. Costa
{"title":"Remarks on compactness conditions and their application","authors":"D. Costa","doi":"10.58997/ejde.sp.02.c3","DOIUrl":"https://doi.org/10.58997/ejde.sp.02.c3","url":null,"abstract":"We review typical compactness conditions used in variational techniques and some of their properties, and the relationships between them. In particular, we provide some new insights into results related to the Palais-Smale and Cerami conditions, and their comparison.\u0000See also https://ejde.math.txstate.edu/special/02/c3/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47606777","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
semilinear wave equation with non-monotone nonlinearity 具有非单调非线性的半线性波动方程
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI: 10.58997/ejde.sp.02.c1
Jose F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuan
{"title":"semilinear wave equation with non-monotone nonlinearity","authors":"Jose F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuan","doi":"10.58997/ejde.sp.02.c1","DOIUrl":"https://doi.org/10.58997/ejde.sp.02.c1","url":null,"abstract":"We prove the existence of weak solutions to a semilinear wave with non-monotone asymptotically linear nonlinearity when the forcing is dominated by a trigonometric polynomial. See also https://ejde.math.txstate.edu/special/02/c1/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135891564","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
nonexistence result for p-Laplacian systems in a ball 球中p-Laplacian系统的不存在性结果
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI: 10.58997/ejde.sp02.a1
A. Abebe, M. Chhetri
{"title":"nonexistence result for p-Laplacian systems in a ball","authors":"A. Abebe, M. Chhetri","doi":"10.58997/ejde.sp02.a1","DOIUrl":"https://doi.org/10.58997/ejde.sp02.a1","url":null,"abstract":"We consider the (p)-Laplacian system $$ displaylines{ -Delta_p u = lambda f(v) quad text{in } Omega; cr -Delta_p v = lambda g(u) quad text{in } Omega; cr u = v=0 quad text{on }partial Omega, }$$ where (lambda >0) is a parameter, (Delta_p u:= operatorname{div}(|nabla u|^{p-2}nabla u)) is the (p)-Laplacian operator for (p > 1) and (Omega) is a unit ball in (mathbb{R}^N) ((N geq 2)). The nonlinearities (f, g: [0,infty) to mathbb{R}) are assumed to be (C^1) non-decreasing semipositone functions ((f(0)< 0) and (g(0)<0)) that are (p)-superlinear at infinity. By analyzing the solution in the interior of the unit ball as well as near the boundary, we prove that the system has no positive radially symmetric and radially decreasing solution for (lambda) large.\u0000See also https://ejde.math.txstate.edu/special/02/a1/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49599603","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
Inverse volatility problem for currency options 货币期权的逆波动性问题
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI: 10.58997/ejde.sp.02.k1
I. Knowles, Sundar Tamang
{"title":"Inverse volatility problem for currency options","authors":"I. Knowles, Sundar Tamang","doi":"10.58997/ejde.sp.02.k1","DOIUrl":"https://doi.org/10.58997/ejde.sp.02.k1","url":null,"abstract":"In transactions associated with future-oriented financial instruments, such as options, a huge amount of data is available buried inside of which is the market's best guess as to what the future holds. We consider here the possibility of extracting future foreign exchange volatility information from foreign exchange option data with the aid of a new computational inverse algorithm using minimization of a convex functional. \u0000See also https://ejde.math.txstate.edu/special/02/k1/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44420026","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
Multiple solutions for nonhomogeneous Schrodinger-Poisson system with p-Laplacian 具有p-拉普拉斯算子的非齐次薛定谔-泊松系统的多重解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-11 DOI: 10.58997/ejde.2023.28
Lan-Xin Huang, Jiabao Su
{"title":"Multiple solutions for nonhomogeneous Schrodinger-Poisson system with p-Laplacian","authors":"Lan-Xin Huang, Jiabao Su","doi":"10.58997/ejde.2023.28","DOIUrl":"https://doi.org/10.58997/ejde.2023.28","url":null,"abstract":"This article concerns the existence of solutions to the Schrodinger-Poisson system $$displaylines{ -Delta_p u+|u|^{p-2}u+lambdaphi u=|u|^{q-2}u+h(x) quad hbox{in }mathbb{R}^3, -Delta phi=u^2 quad hbox{in }mathbb{R}^3, }$$ where ( 4/3 < p < 12/5 ), ( p < q < p^{*}=3p/(3-p) ), (Delta_p u =hbox{div}(|nabla u|^{p-2}nabla u)), (lambda >0), and (h not= 0). The multiplicity results are obtained by using Ekeland's variational principle and the mountain pass theorem.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42660214","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
Growth properties of solutions of complex differential equations with entire coefficients of finite (alpha,beta,gamma)-order 全系数有限阶(alpha,beta,gamma)的复杂微分方程解的生长性质
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-11 DOI: 10.58997/ejde.2023.27
Benharrat Belaidi, T. Biswas
{"title":"Growth properties of solutions of complex differential equations with entire coefficients of finite (alpha,beta,gamma)-order","authors":"Benharrat Belaidi, T. Biswas","doi":"10.58997/ejde.2023.27","DOIUrl":"https://doi.org/10.58997/ejde.2023.27","url":null,"abstract":"In this article, we investigate the complex higher order linear differential equations in which the coefficients are entire functions of (α, β, γ)-order and obtain some results which improve and generalize some previous results of Tu et al. [29] as well as Belaidi [1, 2, 3].","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48489682","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 solutions to steady Navier-Stokes equations via a minimax approach 用极大极小法研究稳定Navier-Stokes方程解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-03-07 DOI: 10.58997/ejde.2023.26
A. Fereidooni, A. Moameni, A. Grewal
{"title":"Existence of solutions to steady Navier-Stokes equations via a minimax approach","authors":"A. Fereidooni, A. Moameni, A. Grewal","doi":"10.58997/ejde.2023.26","DOIUrl":"https://doi.org/10.58997/ejde.2023.26","url":null,"abstract":"Our objective in this paper is to develop and utilize a minimax principle for proving the existence of symmetric solutions for the stationary Navier-Stokes equations. Notwithstanding its application to symmetric solutions in this paper, our minimax principle is broad enough to capture other types of solutions provided the equation and the external force are compatible under a family of operations including but not limited to being invariant by compact groups. The subset of functions compatible under this family of operations is not required to be a linear subspace, and being a closed convex set suffices for our purpose.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45198588","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
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