云南高校图书馆联盟文献共享服务平台- ISOPERIMETRIC

ISOPERIMETRIC: 作品数：22被引量：34H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：张炎强周悦王正勇吴晓红何小海更多>>; 相关机构：苏州工业园区服务外包职业学院四川大学华中师范大学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Journal of Mathematical Study》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划上海市教育委员会重点学科基金四川省科技攻关计划更多>>

Isoperimetric Upper Bounds and Reilly-Type Inequalities for the First Eigenvalue of the p-Biharmonic Operator: 《Journal of Mathematical Research with Applications》2023年第4期487-495,共9页Xuesen QI Yunguang YUE Ximin LIU; Supported by the National Natural Science Foundation of China(Grant No.12071051).; In this paper,we give some isoperimetric upper bounds for the first eigenvalue of the p-biharmonic operator of an n-dimensional embedded closed hypersurface in an Euclidean space.We also give Reilly-type inequalities ...; 关键词：EIGENVALUE p-biharmonic operator isoperimetric upper bounds Reilly-type inequalities

Isoperimetric Type Inequalities and Hypersurface Flows被引量：2: 《Journal of Mathematical Study》2021年第1期56-80,共25页Pengfei Guan Junfang Li; New types of hypersurface flows have been introduced recently with goals to establish isoperimetric type inequalities in geometry.These flows serve as efficient paths to achieve the optimal solutions to the problems o...; 关键词：Hypersurface curvature flows geometric inequalities quermassintegrals

ON BONNESEN-STYLE SYMMETRIC MIXED ISOHOMOTHETIC INEQUALITY IN R^2被引量：5: 《Acta Mathematica Scientia》2019年第5期1319-1329,共11页Yuanyuan WANG Xingxing WANG Chunna ZENG; supported in part by the National Natural Science Foundation of China(11801048);the Natural Science Foundation Project of CSTC(cstc2017jcyjAX0022);Innovation Support Program for Chongqing overseas Returnees(cx2018034); In this paper,we investigate the translative containment measure for a convex domain K_i to contain,or to be contained in the homothetic copy of another convex domain tK_j(t≥0).Via the formulas of translative Blaschk...; 关键词：translative containment measure ISOPERIMETRIC INEQUALITY Bonnesen-style INEQUALITY Bonnesen-style SYMMETRIC MIXED isohomothetic INEQUALITY reverse Bonessen-style SYMMETRIC MIXED isohomothetic INEQUALITY

The Two Hyperplane Conjecture: 《Acta Mathematica Sinica,English Series》2019年第6期728-748,共21页David JERISON; Supported in part by NSF(Grant No.DMS 1500771);a Simons Fellowship;the Simons Foundation(Grant No.601948 DJ); We introduce a conjecture that we call the Two Hyperplane Conjecture, saying that an isoperimetric surface that divides a convex body in half by volume is trapped between parallel hyperplanes. The conjecture is motiva...; 关键词：Minimal surfaces ISOPERIMETRIC ELLIPTIC VARIATIONAL problems hot SPOTS CONJECTURE

Symmetrization for Fractional Elliptic and Parabolic Equations and an Isoperimetric Application(Dedicated to Haim Brezis,great master of analysis,on his 70th birthday)被引量：1: 《Chinese Annals of Mathematics,Series B》2017年第2期661-686,共26页Yannick SIRE Juan Luis VAZQUEZ Bruno VOLZONE; supported by the ANR projects“HAB”and“NONLOCAL”,the Spanish Research Project MTM2011-24696;the INDAM-GNAMPA Project 2014“Analisi qualitativa di soluzioni di equazioni ellittiche e di evoluzione”(Italy); This paper develops further the theory of symmetrization of fractional Laplacian operators contained in recent works of two of the authors. This theory leads to optimal estimates in the form of concentration compariso...; 关键词：Symmetrization FRACTIONAL Laplacian Nonlocal ELLIPTIC and parabolicequations Faber-Krahn inequality

Isoperimetric,Sobolev,and Eigenvalue Inequalities via the Alexandroff-Bakelman-Pucci Method:A Survey: 《Chinese Annals of Mathematics,Series B》2017年第1期201-214,共14页Xavier CABRe; supported by MINECO grant MTM2014-52402-C3-1-P; This paper presents the proof of several inequalities by using the technique introduced by Alexandroff, Bakelman, and Pucci to establish their ABP estimate. First,the author gives a new and simple proof of a lower bou...; 关键词：Isoperimetric inequalities Principal eigenvalue Wulff shapes ABP estimate

Constrained Fractional Variational Problems of Variable Order被引量：1: 《IEEE/CAA Journal of Automatica Sinica》2017年第1期80-88,共9页Dina Tavares Ricardo Almeida Delfim F.M.Torres; supported by Portuguese Funds through the Center for Research and Development in Mathematics and Applications(CIDMA);the Portuguese Foundation for Science and Technology(FCT)(UID/MAT/04106/2013);supported by FCT through the Ph.D. fellowship SFRH/BD/42557/2007; Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint.In this work, we present two fractional isoperimetric problems where the Lagrangian depends on a combined ...; 关键词：Fractional calculus fractional calculus of variations holonomic constraints isoperimetric constraints OPTIMIZATION variable fractional order

基于图论Isoperimetric算法和GVF Snake模型的乳腺肿块边缘自动检测: 《通讯世界》2015年第11期267-268,共2页周悦张娴; 基金项目:网络资源库(zyk-026); 乳腺肿块分割是乳腺癌计算机辅助诊断的重要环节。本文提出了一种基于等周图论分割算法的乳腺肿块分割方法。首先采用基于最小二乘平面拟合的背景趋势去除法对感兴趣区域进行预处理,提高肿块与背景区域的对比度;然后用等周(Isoperimetr...; 关键词：Isoperimetric算法 GVF模型计算机辅助诊断(CAD)

On Isoperimetric Inequalities of Riesz Potentials and Applications: 《Applied Mathematics》2013年第7期1-4,共4页Tynysbek Sh. Kalmenov Ernazar Nysanov Bolys Sabitbek; In this article, we prove certain isoperimetric inequalities for eigenvalues of Riesz potentials and show some applications of the results to a non-local boundary value problem of the Laplace operator.; 关键词：ISOPERIMETRIC INEQUALITIES EIGENVALUES of the LAPLACIAN RIESZ POTENTIALS

Reverse Bonnesen style inequalities in a surface X_∈~2 of constant curvature被引量：8: 《Science China Mathematics》2013年第6期1145-1154,共10页XIA YunWei XU WenXue ZHOU JiaZu ZHU BaoCheng; supported by National Natural Science Foundation of China (Grant Nos.10971167, 11271302 and 11101336); We investigate the isoperimetric deficit upper bound, that is, the reverse Bonnesen style inequality for the convex domain in a surface X2 of constant curvature ε via the containment measure of a convex domain to con...; 关键词：isoperimetric deficit surface of constant curvature Bonnesen style inequality reverse Bonnesenstyle inequality containment measure

ISOPERIMETRIC