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MINIMIZERS: 作品数：15被引量：8H指数：1; 导出分析报告; 相关领域：理学更多>>; 相关作者：吴在德梁汲廷李君湘更多>>; 相关机构：中山大学天津大学更多>>; 相关期刊：《Numerical Mathematics(Theory,Methods and Applications)》《Transactions of Tianjin University》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》更多>>; 相关基金：国家自然科学基金俄罗斯基础研究基金国家重点基础研究发展计划更多>>

MINIMIZERS OF L^(2)-SUBCRITICAL VARIATIONAL PROBLEMS WITH SPATIALLY DECAYING NONLINEARITIES IN BOUNDED DOMAINS: 《Acta Mathematica Scientia》2024年第3期984-996,共13页陈彬高永帅郭玉劲吴越; supported by the Graduate Education Innovation Funds(2022CXZZ088)at Central China Normal University in China;supported by the NSFC(12225106,11931012);the Fundamental Research Funds(CCNU22LJ002)for the Central Universities in China。; This paper is concerned with the minimizers of L^(2)-subcritical constraint variar tional problems with spatially decaying nonlinearities in a bounded domain Ω of R~N(N≥1).We prove that the problem admits minimizers...; 关键词：decaying nonlinearity L~2-subcritical MINIMIZERS bounded domains mass concentration

Minimizers of curl prescribed full trace: 《Applied Mathematics(A Journal of Chinese Universities)》2020年第2期157-165,共9页CHEN Jun; Supported by the National Natural Science Foundation of China(11501109);Designated Scientific Research Project of Provincial Universities of Fujian Province(JK2015014)。; This paper concerns the minimization problem of L2 norm of curl of vector fields prescribed full trace on the boundary of a multiconnected bounded domain.The existence of the minimizers in H1 are shown by orthogonal d...; 关键词：variational problem operator curl full trace multiconnected domain semilinear degenerate system

LIPSCHITZ CONTINUITY OF MINIMIZERS FOR THE GINZBURG-LANDAU FUNCTIONAL BETWEEN ALEXANDROV SPACES: 《Annals of Applied Mathematics》2019年第3期266-308,共43页Jia-Cheng Huang Hui-Chun Zhang; partially supported by NSFC 11571374; In this paper,we shall prove that any minimizer of Ginzburg-Landau functional from an Alexandrov space with curvature bounded below into a nonpositively curved metric cone must be locally Lipschitz continuous.; 关键词：Ginzburg-Landau functional Alexandrov space NPC metric space

Rigidity of Minimizers in Nonlocal Phase Transitions Ⅱ: 《Analysis in Theory and Applications》2019年第1期1-27,共27页O.Savin; partially supported by N.S.F. Grant DMS-1500438; In this paper we extend the results of[12]to the borderline case s=We obtain the classification of global bounded solutions with asymptotically flat level sets for semilinear nonlocal equations of the type△^1/2u=W′(...; 关键词：De Giorgi's CONJECTURE fractional LAPLACIAN

Extremum Problems of Laplacian Eigenvalues and Generalized Polya Conjecture(Dedicated to Professor Haim Brezis on the occasion of his 70th birthday)被引量：5: 《Chinese Annals of Mathematics,Series B》2017年第2期497-512,共16页Fanghua LIN; supported by the NSF Grant DMS-1501000; In this survey on extremum problems of Laplacian-Dirichlet eigenvalues of Euclidian domains, the author briefly presents some relevant classical results and recent progress. The main goal is to describe the well-known...; 关键词：Extremum problems Laplacian eigenvalues WEYL asymptotics Polya'sconjecture Spliting equality Regularity of MINIMIZERS

Minimizers of anisotropic Rudin-Osher-Fatemi models: 《Frontiers of Mathematics in China》2015年第6期1355-1388,共34页Ruiling JIA Meiyue JIANG; Acknowledgements The authors thank the referees for careful reading of the paper and useful suggestions which improve the presentation. This work was supported by the National Natural Science Foundation of China （Grant Nos. 11271025, 11371038, 11431001）.; We give the explicit formulas of the minimizers of the anisotropic Rudin-Osher-Fatemi models Eφ1（U）=∫Ωφ°（Du）Dx＋λ∫｜u-f｜dx,u∈BV（Ω） Eφ2（U）=∫Ωφ°（Du）Dx＋λ∫（u-f）2dx,u∈BV（Ω）,where Ω R2 is...; 关键词：Anisotropic Rudin-Osher-Fatemi （ROF） model Euler-Lagrange equation φ-curvature

Multiple bifurcations and local energy minimizers in thermoelastic martensitic transformations被引量：1: 《Acta Mechanica Sinica》2015年第5期660-671,共12页Chen Xuan Shurong Ding Yongzhong Huo; supported by the National Natural Science Foundation of China(Grants 11461161008 and 11272092); Thermoelastic martensitic transformations in shape memory alloys can be modeled on the basis of nonlinear elastic theory.Microstructures of fine phase mixtures are local energy minimizers of the total energy.Using a o...; 关键词：Thermoelastic martensitic transformation MICROSTRUCTURES Nonlinear elasticity BIFURCATION Energy minimizer

Higher-Order Minimizers and Generalized (F,<i>ρ</i>)-Convexity in Nonsmooth Vector Optimization over Cones: 《Applied Mathematics》2015年第1期7-19,共13页S. K. Suneja Sunila Sharma Malti Kapoor; In this paper, we introduce the concept of a (weak) minimizer of order k for a nonsmooth vector optimization problem over cones. Generalized classes of higher-order cone-nonsmooth (F, ρ)-convex functions are introduc...; 关键词：NONSMOOTH Vector Optimization OVER CONES (Weak) MINIMIZERS of Order k NONSMOOTH (F ρ)-Convex Function of Order k

An oracle inequality for regularized risk minimizers with strongly mixing observations: 《Frontiers of Mathematics in China》2013年第2期301-315,共15页Feilong CAO Xing XING; Acknowledgements The authors would like to express their sincere gratitude to the two anonymous referees for their value comments and suggestions. This work was supported by the National Natural Science Foundation of China （Grant Nos. 61272023, 61101240）.; We establish a general oracle inequality for regularized risk minimizers with strongly mixing observations, and apply this inequality to support vector machine （SVM） type algorithms. The obtained main results extend...; 关键词：Oracle inequality exponentially strongly mixing regularized risk minimizer

Parallel Algorithm and Software for Image Inpainting via Sub-Riemannian Minimizers on the Group of Rototranslations被引量：1: 《Numerical Mathematics(Theory,Methods and Applications)》2013年第1期95-115,共21页Alexey P.Mashtakov Andrei A.Ardentov Yuri L.Sachkov; The authors acknowledge support by Russian Foundation for Basic Research,Project No.12-01-00913-a;and by the Ministry of Education and Science of Russia within the Federal program"Scientific and Scientific-Pedagogical Personnel of Innovative Russia,"Agreement No.8209 of August 6,2012.; The paper is devoted to an approach for image inpainting developed on the basis of neurogeometry of vision and sub-Riemannian geometry.Inpainting is realized by completing damaged isophotes(level lines of brightness)b...; 关键词：Image inpainting sub-Riemannian geometry neurogeometry of vision group of rototranslations of a plane parallel software

MINIMIZERS