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Correction to: Weighted Estimates for Vector-Valued Intrinsic Square Functions and Commutators in the Morrey-Type Spaces 修正：morrey型空间中向量值内禀平方函数和换向子的加权估计
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-10-14 DOI: 10.1007/s40306-025-00585-5
Hua Wang
{"title":"Correction to: Weighted Estimates for Vector-Valued Intrinsic Square Functions and Commutators in the Morrey-Type Spaces","authors":"Hua Wang","doi":"10.1007/s40306-025-00585-5","DOIUrl":"10.1007/s40306-025-00585-5","url":null,"abstract":"","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"445 - 445"},"PeriodicalIF":0.3,"publicationDate":"2025-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Local Polynomial Convexity of the Union of two Tangential Totally Real Graphs in (mathbb {C}^3) 中两个切向全实数图并集的局部多项式凸性 (mathbb {C}^3)
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-08-04 DOI: 10.1007/s40306-025-00578-4
Mai The Tan, Kieu Phuong Chi
{"title":"Local Polynomial Convexity of the Union of two Tangential Totally Real Graphs in (mathbb {C}^3)","authors":"Mai The Tan,&nbsp;Kieu Phuong Chi","doi":"10.1007/s40306-025-00578-4","DOIUrl":"10.1007/s40306-025-00578-4","url":null,"abstract":"<div><p>In this note, we consider the local polynomial convexity of the union of totally real graphs in <span>(mathbb {C}^3)</span> having the same tangent spaces at the origin. We also construct examples showing that our results are quite sharp in some sense.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"411 - 418"},"PeriodicalIF":0.3,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Powers of the Edge Ideals and Matchings in Hypergraphs 超图中边缘理想与匹配的幂
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-07-31 DOI: 10.1007/s40306-025-00576-6
Fahimeh Khosh-Ahang Ghasr
{"title":"Powers of the Edge Ideals and Matchings in Hypergraphs","authors":"Fahimeh Khosh-Ahang Ghasr","doi":"10.1007/s40306-025-00576-6","DOIUrl":"10.1007/s40306-025-00576-6","url":null,"abstract":"<div><p>In this work, some combinatorial lower bound for regularity of powers of the edge ideal of a uniform hypergarph is gained. A family of hypergraphs whose regularity of edge ideal attains this bound and has a significant difference from the lower bounds heretofore obtained have also been introduced.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"375 - 386"},"PeriodicalIF":0.3,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A New Polyconvolution Operator with the Weight Function Related to the Hartley Integral Transforms (H_2,H_1) and Applications Hartley积分变换相关权函数的一种新的多卷积算子(H_2,H_1)及其应用
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-07-30 DOI: 10.1007/s40306-025-00575-7
N. M. Khoa
{"title":"A New Polyconvolution Operator with the Weight Function Related to the Hartley Integral Transforms (H_2,H_1) and Applications","authors":"N. M. Khoa","doi":"10.1007/s40306-025-00575-7","DOIUrl":"10.1007/s40306-025-00575-7","url":null,"abstract":"<div><p>In this work, we define a novel polyconvolution operator with the trigonometric weight function <span>(gamma =cos y)</span> related to the Hartley integral transforms <span>(H_2,H_1)</span>. We then establish some fashionable algebraic properties for this polyconvolution operator. Finally, we state some applications.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"363 - 373"},"PeriodicalIF":0.3,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Staggered Cell-Centered Finite Element Method with Grad-div Stabilization for the Stokes Problems Stokes问题的逐级稳定交错胞心有限元法
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-07-30 DOI: 10.1007/s40306-025-00577-5
Ong Thanh Hai
{"title":"A Staggered Cell-Centered Finite Element Method with Grad-div Stabilization for the Stokes Problems","authors":"Ong Thanh Hai","doi":"10.1007/s40306-025-00577-5","DOIUrl":"10.1007/s40306-025-00577-5","url":null,"abstract":"<div><p>This paper introduces a novel approach for efficiently approximating solutions to Stokes problems, combining the staggered cell-centered finite element method (SCCFE) with grad-div stabilization (SCCFE<span>(-nabla textrm{div})</span>). The scheme is implementable on general meshes through the construction of a dual mesh and a triangular dual sub-mesh. The velocity is approximated by piecewise linear <span>((P_1))</span> functions on the dual sub-mesh, and the pressure is approximated by piecewise constant <span>((P_0))</span> functions on the dual mesh. The scheme is cell-centered in the sense that the solution can be computed using cell unknowns of the primal mesh (for the velocity) and of the dual mesh (for the pressure). Its stability is proved using the macroelement technique. The method is presented within a rigorous theoretical framework to show the <span>([H^1(varOmega )]^2)</span> error of the velocity and the <span>(L^2(varOmega ))</span> error of the pressure. These error estimates are verified by numerical examples.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"387 - 410"},"PeriodicalIF":0.3,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Dirichlet Type Problem for Non-Pluripolar Complex Monge-Ampère Equations 非多极复monge - ampantere方程的Dirichlet型问题
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-06-11 DOI: 10.1007/s40306-025-00574-8
Thai Duong Do, Hoang-Son Do, Van Tu Le, Ngoc Thanh Cong Pham
{"title":"A Dirichlet Type Problem for Non-Pluripolar Complex Monge-Ampère Equations","authors":"Thai Duong Do,&nbsp;Hoang-Son Do,&nbsp;Van Tu Le,&nbsp;Ngoc Thanh Cong Pham","doi":"10.1007/s40306-025-00574-8","DOIUrl":"10.1007/s40306-025-00574-8","url":null,"abstract":"<div><p>In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of <span>( mathbb {C}^n )</span>. We provide a local version for an existence and uniqueness theorem proved by Darvas et al. (<i>Math. Ann. 379</i>, 95–132, 2021). Our work also extends a result of Åhag et al. (<i>J. Math. Pures Appl. 92</i>, 613–627, 2009).</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"305 - 328"},"PeriodicalIF":0.3,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pertubations of Invariants of Plane Curve Singularities 平面曲线奇点不变量的摄动
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-06-06 DOI: 10.1007/s40306-025-00581-9
Hong Duc Nguyen
{"title":"Pertubations of Invariants of Plane Curve Singularities","authors":"Hong Duc Nguyen","doi":"10.1007/s40306-025-00581-9","DOIUrl":"10.1007/s40306-025-00581-9","url":null,"abstract":"<div><p>We introduce, using resolution of singularities, a new invariant <span>(lambda (f))</span> of a plane curve singularity <span>(f)</span> which can be easily computed and study its relation to the problem of the stability under small perturbations. More percisely, we prove that the number of braches and delta invatiants of plane curve singularities are stable under small perturbations of degree at least <span>(lambda (f))</span>.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 4","pages":"487 - 493"},"PeriodicalIF":0.3,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147734978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fundamentals and Stability of Positive Fractional-Order Two-Dimensional (2-D) Systems with Delays 具有时滞的正分数阶二维系统的基本原理与稳定性
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-06-02 DOI: 10.1007/s40306-025-00571-x
Tran Ngoc Nguyen, Phan Thanh Nam
{"title":"Fundamentals and Stability of Positive Fractional-Order Two-Dimensional (2-D) Systems with Delays","authors":"Tran Ngoc Nguyen,&nbsp;Phan Thanh Nam","doi":"10.1007/s40306-025-00571-x","DOIUrl":"10.1007/s40306-025-00571-x","url":null,"abstract":"<div><p>In this paper, we address the problem of the fundamentals and stability analysis for a class of positive fractional-order two-dimensional (2-D) systems with time-varying delays. Firstly, based on the Banach fixed point theorem, the fundamentals, including the existence, the uniqueness and the continuous dependence of solution, are studied. Next, by using the continuous dependence of solution, a condition for the positivity is derived. Lastly, by developing a solution comparison method, which is based on the system’s positivity, a sufficient condition for the asymptotic stability of the considered system is established. A numerical example is also provided to illustrate the theoretical results.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"329 - 350"},"PeriodicalIF":0.3,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhanced Adaptive RBF-FD Methods for 2D Elliptic Equations with New Thresholding Strategies 基于新阈值策略的二维椭圆方程增强自适应RBF-FD方法
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-06-02 DOI: 10.1007/s40306-025-00569-5
Oanh Thi Dang
{"title":"Enhanced Adaptive RBF-FD Methods for 2D Elliptic Equations with New Thresholding Strategies","authors":"Oanh Thi Dang","doi":"10.1007/s40306-025-00569-5","DOIUrl":"10.1007/s40306-025-00569-5","url":null,"abstract":"<div><p>In this paper, we present strategies for determining the error indicator threshold value at each refinement step. The error indicator threshold is not directly computed from the maximum error indicator, improving refinement efficiency. Moreover, to enhance refinement efficiency, we propose three new candidate center structures, which include a greater number of centers and may double the distribution density. Additionally, we improve the variable support size algorithm for making it more flexible. Moreover, we introduce a measure to evaluate the average recursive preprocessing cost per new center generated by the adaptive RBF-FD (Radial Basis Function-Finite Difference) meshless method. This metric is used to assess the preprocessing cost efficiency of the adaptive RBF-FD meshless method and to compare it with our previously published adaptive RBF-FD methods for solving 2D elliptic equations. The results demonstrate that the numerical solutions obtained using the methods proposed in this paper are significantly more accurate, more stable, and more effective in terms of refinement than those from our earlier studies and the adaptive FEM (Finite Element Method), while achieving the lowest computational cost.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 2","pages":"233 - 261"},"PeriodicalIF":0.3,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Liouville Results for Quasilinear Hamilton-Jacobi Type Problems 拟线性Hamilton-Jacobi型问题的一些Liouville结果
IF 0.3
Acta Mathematica Vietnamica Pub Date : 2025-06-02 DOI: 10.1007/s40306-025-00573-9
Phuoc Vinh Dinh, Kim Anh T. Le, Phuong Le
{"title":"Some Liouville Results for Quasilinear Hamilton-Jacobi Type Problems","authors":"Phuoc Vinh Dinh,&nbsp;Kim Anh T. Le,&nbsp;Phuong Le","doi":"10.1007/s40306-025-00573-9","DOIUrl":"10.1007/s40306-025-00573-9","url":null,"abstract":"<div><p>We prove a Liouville type theorem for nonnegative solutions of the problem <span>( -Delta _p u + |nabla u|^gamma = u^q )</span> in <span>( mathbb {R}^N_+ )</span> with zero Dirichlet boundary condition, where <span>( p&gt;2 )</span> and <span>( q&gt;gamma &gt; p-1 )</span>. Our proof combines a recent monotonicity result with a new Liouville type theorem for nonnegative stable solutions in dimension <span>( N&lt;N^sharp )</span>, where <span>( N^sharp )</span> is explicitly computed.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"351 - 361"},"PeriodicalIF":0.3,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145754299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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