成果/Result
- Integral representations for the solutions of infinite order of the stationary Schrodinger equation in a cone被引量：12收藏
- 作者：Qiao, Lei Ren, Yudong
- 机构：Henan Univ Econ & Law
- 来源：MONATSHEFTE FUR MATHEMATIK 2014
- 关键词：Integral representation Stationary Schrodinger equation Generalized harmonic function Cone
- INTEGRAL REPRESENTATIONS OF GENERALIZED HARMONIC FUNCTIONS被引量：10收藏
- 作者：Qiao, Lei Pan, Guoshuang
- 机构：Henan Univ Econ & Law;Beijing Natl Day Sch
- 来源：TAIWANESE JOURNAL OF MATHEMATICS 2013
- 关键词：Asymptotic behavior Integral representation Stationary Schrodinger equation Generalized harmonic function Cone
- Weak solutions for the stationary Schrodinger equation and its application被引量：8收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：APPLIED MATHEMATICS LETTERS 2017
- 关键词：Carleman's formula Stationary Schrodinger equation Integral representation
- GENERALIZATION OF THE PHRAGMEN-LINDELOF THEOREMS FOR SUBFUNCTIONS被引量：7收藏
- 作者：Qiao, Lei Pan, Guoshuang
- 机构：Henan Univ Econ & Law;Beijing Natl Daily Sch
- 来源：INTERNATIONAL JOURNAL OF MATHEMATICS 2013
- 关键词：Stationary Schrodinger operator Poisson a-integral Green a-potential growth property integral representation cone
- Lower-bound estimates for a class of harmonic functions and applications to Masaev's Type theorem被引量：6收藏
- 作者：Qiao, Lei Pan, Guoshuang
- 机构：Henan Univ Econ & Law;Beijing Natl Day Sch
- 来源：BULLETIN DES SCIENCES MATHEMATIQUES 2016
- 关键词：Lower-bound estimate Harmonic function Cone
- A THEOREM OF PHRAGMEN-LINDELOF TYPE FOR SUBFUNCTIONS IN A CONE被引量：6收藏
- 作者：Qiao, Lei Deng, Guantie
- 机构：Henan Univ Econ & Law;Beijing Normal Univ
- 来源：GLASGOW MATHEMATICAL JOURNAL 2011
- Growth properties of modified alpha-potentials in the upper-half space被引量：5收藏
- 作者：Qiao, Lei Deng, Guantie
- 机构：Henan Univ Econ & Law;Beijing Normal Univ
- 来源：FILOMAT 2013
- 关键词：Modified Poisson integral Modified Green function Capacity
- A LOWER ESTIMATE OF HARMONIC FUNCTIONS被引量：4收藏
- 作者：Pan, G. Qiao, L. Deng, G.
- 机构：Beijing Natl Day Sch;Henan Univ Econ & Law;Beijing Normal Univ
- 来源：BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 2014
- 关键词：Lower estimate Harmonic function Half space
- BOUNDARY LIMITS FOR FRACTIONAL POISSON a-EXTENSIONS OF L-p BOUNDARY FUNCTIONS IN A CONE被引量：4收藏
- 作者：Qiao, Lei Zhao, Tao
- 机构：Henan Univ Econ & Law;Okayama Univ
- 来源：PACIFIC JOURNAL OF MATHEMATICS 2014
- 关键词：boundary limit Poisson a-integral stationary Schrodinger operator cone
- Solutions of the Dirichlet-Sch problem and asymptotic properties of solutions for the Schrodinger equation被引量：3收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：APPLIED MATHEMATICS LETTERS 2017
- 关键词：Dirichlet-Sch problem Schrodinger equation Asymptotic property
- Growth estimates for modified Green potentials in the upper-half space被引量：3收藏
- 作者：Qiao, Lei Deng, Guantie
- 机构：Beijing Normal Univ;Henan Univ Econ & Law
- 来源：BULLETIN DES SCIENCES MATHEMATIQUES 2011
- 关键词：Modified Green potential Capacity
- Growth of certain harmonic functions in an n-dimensional cone被引量：3收藏
- 作者：Qiao, Lei Deng, Guantie
- 机构：Henan Univ Econ & Law;Beijing Normal Univ
- 来源：FRONTIERS OF MATHEMATICS IN CHINA 2013
- 关键词：Growth property harmonic function cone
- Integral representation for the solution of the stationary Schrodinger equation in a cone被引量：3收藏
- 作者：Qiao, Lei Deng, Guantie
- 机构：Henan Univ Econ & Law;Beijing Normal Univ
- 来源：MATHEMATISCHE NACHRICHTEN 2012
- 关键词：Integral representation stationary Schrodinger equation cone
- The Dirichlet Problem on the Upper Half-Space被引量：3收藏
- 作者：Huang, Jinjin Qiao, Lei
- 机构：Henan Univ Econ & Law;Zhoukou Normal Univ
- 来源：ABSTRACT AND APPLIED ANALYSIS 2012
- MATSAEV'S TYPE THEOREMS FOR SOLUTIONS OF THE STATIONARY SCHRODINGER EQUATION AND ITS APPLICATIONS被引量：3收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2016
- 关键词：Stationary Schrodinger equation Matsaev's type theorem lower estimate
- Growth Property and Integral Representation of Harmonic Functions in a Cone被引量：3收藏
- 作者：Qiao, Lei Deng, Guan-Tie
- 机构：Henan Univ Econ & Law;Beijing Normal Univ
- 来源：BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY 2013
- 关键词：Growth property integral representation harmonic function cone
- ASYMPTOTIC BEHAVIORS OF GREEN-SCH POTENTIALS AT INFINITY AND ITS APPLICATIONS被引量：2收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 2017
- 关键词：Stationary Schrodinger operator asymptotic behavior Green-Sch potential
- GROWTH PROPERTIES FOR THE SOLUTIONS OF THE STATIONARY SCHRODINGER EQUATION IN A CONE被引量：2收藏
- 作者：Qiao, Lei Su, Bai-Yun Deng, Guan-Tie
- 机构：Henan Univ Econ & Law;Beijing Normal Univ
- 来源：TAIWANESE JOURNAL OF MATHEMATICS 2012
- 关键词：Growth property Stationary Schrodinger equation Generalized harmonic function Cone
- Cylindrical Poisson kernel method and its applications被引量：2收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 2021
- 关键词：Asymptotic behaviour Cylindrical Poisson integral Integral representation
- THEOREMS OF THE PHRAGMEN-LINDELOF TYPE FOR SUBFUNCTIONS IN A CONE被引量：2收藏
- 作者：Qiao, Lei Pan, Guoshuang
- 机构：Univ Bretagne Sud;Beijing Natl Day Sch;Henan Univ Econ & Law
- 来源：PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 2017
- 关键词：stationary Schrodinger operator Poisson-Sch integral Phragmen-Lindelof cone
- Asymptotic Behavior for a Class of Modified alpha-Potentials in a Half Space被引量：2收藏
- 作者：Qiao, Lei Deng, Guantie
- 机构：Beijing Normal Univ;Henan Univ Finance & Econ
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2010
- Dirichlet problem for the Schrodinger operator on a cone被引量：1收藏
- 作者：Qiao, Lei Deng, Guan-Tie
- 机构：Henan Univ Econ & Law;MOE Beijing Normal Univ
- 来源：BOUNDARY VALUE PROBLEMS 2012
- 关键词：Dirichlet problem stationary Schrodinger equation cone
- Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions被引量：1收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：BULLETIN DES SCIENCES MATHEMATIQUES 2018
- 关键词：Asymptotic behavior Dirichlet problem Integral representation
- Derivatives of meromorphic functions and polynomial functions被引量：1收藏
- 作者：Yang, Pai Qiao, Lei
- 机构：Chengdu Univ Informat Technol;Henan Univ Econ & Law
- 来源：COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 2016
- 关键词：meromorphic function quasinormal criterion Nevanlinna theory
- INTEGRAL REPRESENTATIONS AND GROWTH PROPERTIES FOR A CLASS OF SUPERFUNCTIONS IN A CONE被引量：1收藏
- 作者：Qiao, Lei Deng, Guan-Tie
- 机构：Henan Univ Econ & Law;Beijing Normal Univ
- 来源：TAIWANESE JOURNAL OF MATHEMATICS 2011
- 关键词：Stationary Schrodinger operator Poisson a-integral Green a-potential Growth property Integral representation Cone
- Explicit Solutions of Cylindrical Schrodinger Equation with Radial Potentials被引量：1收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：JOURNAL OF GEOMETRIC ANALYSIS 2021
- 关键词：Cylindrical Schrodinger equation Modified cylindrical Poisson-Schrodinger integral Explicit solution
- A general Phragmen-Lindelof principle for weak solutions of the Schrodinger equation and its applications被引量：0收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：APPLIED MATHEMATICS LETTERS 2018
- 关键词：Phragmen-lindelof principle Weak solution Schrodinger equation
- Explicit solutions of the Dirichlet-Schrodinger problem via the new cylindrical Poisson-Schrodinger kernel method被引量：0收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：FORUM MATHEMATICUM 2023
- 关键词：Cylindrical Schrodinger equation cylindrical Poisson-Schrodinger kernel Dirichlet-Schrodinger problem
- Picard Type Theorems Concerning Certain Small Functions被引量：0收藏
- 作者：Yang, Pai Qiao, Lei
- 机构：Chengdu Univ Informat Technol;Henan Univ Econ & Law
- 来源：ACTA MATHEMATICA SINICA-ENGLISH SERIES 2017
- 关键词：Meromorphic function Nevanlinna theory Picard type theorem
- ON THE CYLINDRICAL GREEN'S FUNCTION FOR REPRESENTATION THEORY AND ITS APPLICATIONS被引量：0收藏
- 作者：Qiao, Lei
- 机构：Henan Univ Econ & Law
- 来源：ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 2019
- 关键词：Cylindrical Green's function cylindrical Green's potential representation theory covering property
