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NON-DEGENERACY: 作品数：14被引量：15H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：李佳朱春鹏更多>>; 相关机构：东南大学徐州工程学院更多>>; 相关期刊：《Science China Mathematics》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》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更多>>

Infinitely many dichotomous solutions for the Schrödinger-Poisson system: 《Science China Mathematics》2024年第9期2049-2070,共22页Yuke He Benniao Li Wei Long; supported by National Natural Science Foundation of China(Grant Nos.12101274 and 12226309);the Jiangxi Province Science Fund for Distinguished Young Scholars(Grant No.20224ACB218001);supported by National Natural Science Foundation of China(Grant No.12271223);Jiangxi Provincial Natural Science Foundation(Grant No.20212ACB201003);Jiangxi Two Thousand Talents Program(Grant No.jxsq2019101001);Double-high Talents Program in Jiangxi Province。; In this paper,we consider the following Schrodinger-Poisson system{-ε^(2)Δu+V(x)u+K(x)Φ(x)u=|u|^(p-1)u in R^(N),-ΔΦ(x)=K(x)u^(2)in RN,,where e is a small parameter,1; 关键词：dichotomous solutions NON-DEGENERACY Schrodinger-Poisson system

New existence of multi-spike solutions for the fractional Schrodinger equations: 《Science China Mathematics》2023年第5期977-1002,共26页Qing Guo Yuxia Guo Shuangjie Peng; supported by National Natural Science Foundation of China(Grant No.11771469);Yuxia Guo was supported by National Natural Science Foundation of China(Grant No.11771235);Shuangjie Peng was supported by National Natural Science Foundation of China(Grant No.11831009).; We consider the following fractional Schr¨odinger equation:(-Δ)^(s)u+V(y)u=u^(p);u>0 in R^(N);(0.1)where s ∈(0,1),1; 关键词：NON-DEGENERACY fractional Schrodinger equations Pohozaev identity Lyapunov-Schmidt reduction

REVISITING A NON-DEGENERACY PROPERTY FOR EXTREMAL MAPPINGS: 《Acta Mathematica Scientia》2021年第6期1829-1838,共10页Xiaojun HUANG; Partially supported by NSF grants DMS-1665412 and DMS-2000050.; We extend an earlier result obtained by the author in [7].; 关键词：non-degeneracy property extremal mapping PSEUDOCONVEX

The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets: 《Analysis in Theory and Applications》2020年第4期510-516,共7页Shiping Cao Hua Qiu; the Nature Science Foundation of China,Grant No.12071213.; We present a direct and short proof of the non-degeneracy of the harmonic structures on the level-n Sierpinski gaskets for any n≥2,which was conjectured by Hino in[1,2]and confirmed to be true by Tsougkas[8]very rece...; 关键词：Fractal analysis harmonic functions fractal Laplacians harmonic structures Sierpinski gaskets.

Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions: 《Frontiers of Mathematics in China》2020年第3期571-591,共21页Kun WANG Junxiang XU; This work was supported in part by the National Natural Science Foundation of China(Grant Nos.11871146,11671077);the Innovation Project for college postgraduates in Jiangsu Province(No.KYZZ160113).; We consider a class of analytic area-preserving mappings Cm-smoothly depending on a parameter.Without imposing on any non-degeneracy assumption,we prove a formal KAM theorem for the mappings,which implies many previou...; 关键词：Area-preserving mapping invariant curve KAM iteration nondegeneracy condition

Existence of Invariant Tori in Reversible Mappings: 《Acta Mathematica Sinica,English Series》2019年第9期1419-1452,共34页Sheng Qing HU; In this paper, we study reversible diffeomorphisms with n angular variables and only one action variable. Under some reasonable non-degeneracy conditions, we prove that the reversible diffeomorphisms sufficiently clos...; 关键词：REVERSIBLE DIFFEOMORPHISM invariant TORI NON-DEGENERACY conditions KAM method

Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems被引量：3: 《Science China Mathematics》2018年第9期1567-1588,共22页Zhaodong Ding Zaijiu Shang; supported by National Natural Science Foundation of China(Grant No.11671392); In this paper, we study the persistence of invariant tori of integrable Hamiltonian systems satisfying Rssmann's non-degeneracy condition when symplectic integrators are applied to them. Meanwhile, we give an estimate...; 关键词：Hamiltonian systems symplectic integrators KAM theory invariant tori twist symplectic mappings Rüissmann＇s non-degeneracy

A NOTE ON THE UNIQUENESS AND THE NON-DEGENERACY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS AND ITS APPLICATION被引量：1: 《Acta Mathematica Scientia》2018年第4期1121-1142,共22页Shinji ADACHI Masataka SHIBATA Tatsuya WATANABE; supported by JSPS Grant-in-Aid for Scientific Research(C)(15K04970); In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE anal- ysis, we extend previous results to cases ...; 关键词：positive radial solution UNIQUENESS NON-DEGENERACY shooting method

Non-degeneracy of extremal points in multi-dimensional space被引量：3: 《Science China Mathematics》2015年第11期2255-2260,共6页CHENG ChongQing ZHOU Min; supported by National Basic Research Program of China(973 Program)(Grant No.2013CB834100);National Natural Science Foundation of China(Grant Nos.11171146 and 11201222);the Priority Academic Program Development of Jiangsu Higher Education Institutions; For a family of smooth functions defined in multi-dimensional space,we show that,under certain generic conditions,all minimal and maximal points are non-degenerate.; 关键词：NON-DEGENERACY multi-dimensionM space smooth functions minimal and maximal points

Non-degeneracy of Extremal Points: 《Chinese Annals of Mathematics,Series B》2015年第1期45-50,共6页Min ZHOU; supported by the National Natural Science Foundation of China(Nos.11201222,11171146);the Basic Research Program of Jiangsu Province(No.BK2008013);a program of the Priority Academic Program Development of Jiangsu Province; For a family of smooth functions, the author shows that, under certain generic conditions, all extremal(minimal and maximal) points are non-degenerate.; 关键词：NON-DEGENERACY Extremal point Generic condition

NON-DEGENERACY