云南高校图书馆联盟文献共享服务平台- HEISENBERG

HEISENBERG_GROUP: 作品数：77被引量：88H指数：5; 导出分析报告; 相关作者：田龙王海蒙更多>>; 相关机构：浙江大学南京理工大学南京林业大学更多>>; 相关期刊：《Journal of Partial Differential Equations》《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

JERISON-LEE IDENTITIES AND SEMI-LINEAR SUBELLIPTIC EQUATIONS ON HEISENBERG GROUP: 《Acta Mathematica Scientia》2025年第1期264-279,共16页Xinan MA Qianzhong OU Tian WU; supported by the National Natural Science Foundation of China(12141105,12471194);the first author’s research also was supported by the National Key Research and Development Project(SQ2020YFA070080).; In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR)Yamabe problem,Jerison-Lee found a three-dimensional family of differential identities for critical exponent subell...; 关键词：Cauchy-Riemann Yamabe problem subelliptic equations Jerison-Lee identities

Affine Connections and Gauss-Bonnet Theorems in the Heisenberg Group: 《数学进展》2024年第5期1103-1119,共17页WANG Yong; Supported by NSFC(No.11771070).; In this paper,we compute sub-Riemannian limits of Gaussian curvature associated to two kinds of Schouten-Van Kampen affine connections and the adapted connection for a Euclidean C2-smooth surface in the Heisenberg gro...; 关键词：Schouten-Van Kampen affine connection the adapted connection Gauss-Bonnet theorem sub-Riemannian limit Heisenberg group

Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group: 《Advances in Pure Mathematics》2024年第9期744-758,共15页Huimin Cheng Feng Zhou; In this article, we deal with weak solutions to non-degenerate sub-elliptic equations in the Heisenberg group, and study the regularities of solutions. We establish horizontal Calderón-Zygmund type estimate in Besov ...; 关键词：Heisenberg Group Sub-Elliptic Equations REGULARITY Besov Spaces

The tangential k-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第1期181-190,共10页REN Guang-zhen SHI Yun KANG Qian-qian; Supported by National Nature Science Foundation in China(12101564,11971425,11801508);Nature Science Foundation of Zhejiang province(LY22A010013);Domestic Visiting Scholar Teacher Professional Development Project(FX2021042)。; The tangential k-Cauchy-Fueter operator and k-CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the Heisenberg group in the theory of several complex variables,respectively.I...; 关键词：the generalized complex Heisenberg group the tangential k-Cauchy-Fueter type operator Penrose-type integral formula

Local Dispersive and Strichartz Estimates for the Schr?dinger Operator on the Heisenberg Group: 《Communications in Mathematical Research》2023年第1期1-35,共35页Hajer Bahouri Isabelle Gallagher; It was proved by Bahouri et al.[9]that the Schrodinger equation on the Heisenberg group H^(d),involving the sublaplacian,is an example of a totally non-dispersive evolution equation:for this reason global dispersive e...; 关键词：Heisenberg group Schrodinger equation dispersive estimates Strichartz estimates

Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group被引量：1: 《Analysis in Theory and Applications》2021年第4期520-540,共21页Shirsho Mukherjee Yannick Sire; S.Mukherjee was partially supported by“Variationaaliset integraalit geometr”and GHAIA Marie Skłodowska-Curie grant agreement No.777822 under Horizon 2020.; We establish Holder continuity of the horizontal gradient of weak solu-tions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg Group.; 关键词：NON-HOMOGENEOUS

A Direct Method of Moving Planes to Fractional Power Sub Laplace Equations on the Heisenberg Group: 《Acta Mathematicae Applicatae Sinica》2021年第2期364-379,共16页Xin-jing WANG Peng cheng NIU; supported by the National Natural Science Foundation of China(No.11771354)。; We give the direct method of moving planes for solutions to the conformally invariant fractional power sub Laplace equation on the Heisenberg group.The method is based on four maximum principles derived here.Then symm...; 关键词：Heisenberg group fractional power sub Laplace equation the direct method of moving planes maximum principle

Submanifolds in Cauchy Riemann Geometry: 《Journal of Mathematical Study》2020年第4期471-492,共22页Jih-Hsin Cheng; supported by the Ministry of Science and Technology of Taiwan Grant No.108-2115-M-001-010; In this paper I would like to make a report on the results about hypersur-faces in the Heisenberg group and invariant curves and surfaces in CR geometry.The results are contained in the papers[8,9,16]and[14].Besides,I...; 关键词：Heisenberg group umbilicity Pansu sphere Strong maximum principle horizontal(p−)mean curvature subriemannian manifold CR geometry chain Kropina metric pseudohermitian geometry CR invariant surface area functional singular Yamabe problem volume renormalization

Regularity to a Kohn-Laplace Equation with Bounded Coefficients on the Heisenberg Group: 《Journal of Mathematical Study》2020年第3期265-296,共32页Junli Zhang Pengcheng Niu Xiuxiu Wang; supported by National Natural Science Foundation of China(Grant No.11771354 and 11701454); In this paper,we concern the divergence Kohn-Laplace equation ■with bounded coefficients on the Heisenberg group H^(n),where X_(1),...,X_(n),Y_(1),...,Y_(n) and T are real smooth vector fields defined in a bounded re...; 关键词：Heisenberg group Kohn-Laplace equation local maximum principle Hölder regu-larity weak Harnack inequality

Bilinear Riesz means on the Heisenberg group: 《Science China Mathematics》2019年第12期2535-2556,共22页Heping Liu Min Wang; supported by National Natural Science Foundation of China(Grant No.11371036);supported by China Scholarship Council(Grant No.201606010026); In this article, we investigate the bilinear Riesz means Sα associated with the sublaplacian on the Heisenberg group. We prove that the operator Sαis bounded from Lp1 × Lp2 into Lp for 1 p1, p2 ∞ and1/p = 1/p1 + 1...; 关键词：HEISENBERG group BILINEAR RIESZ means RESTRICTION THEOREM

HEISENBERG_GROUP