Functional Inequalities in Non-Archimedean Normed Spaces Choonkil PARK Abstract In this paper,we introduce an additive functional inequality and a quadratic functional inequality in normed spaces,and prove the Hyers-U...Functional Inequalities in Non-Archimedean Normed Spaces Choonkil PARK Abstract In this paper,we introduce an additive functional inequality and a quadratic functional inequality in normed spaces,and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces.Furthermore,we introduce an additive functional inequality and展开更多
Nonorientable Genera of Petersen Powers Wen Zhong LIU Ting Ru SHEN Yi Chao CHEN Abstract In the paper,we prove that for every integern≥1,there exists a Petersen power P^n with nonorientable genus and Euler genus prec...Nonorientable Genera of Petersen Powers Wen Zhong LIU Ting Ru SHEN Yi Chao CHEN Abstract In the paper,we prove that for every integern≥1,there exists a Petersen power P^n with nonorientable genus and Euler genus precisely n.which improves the upper bound of Mohar and Vodopivec’s result[J.Graph Theory,67,1-8(2011)]that for every integer k(2≤k≤n-1),a Petersen power P^n exists with nonorientable genus and Euler genus precisely k.Polynomials with Palindromic and Unimodal展开更多
Functionals for Multilinear Fractional Embedding William BECKNERAbstract A novel representation is developed as a measure for multilinear fractional embedding.Corresponding extensions are given for the Bourgain-Brezis...Functionals for Multilinear Fractional Embedding William BECKNERAbstract A novel representation is developed as a measure for multilinear fractional embedding.Corresponding extensions are given for the Bourgain-Brezis-Mironescu theorem and Pitt’s inequality.New results are obtained for diagonal trace restriction on submanifolds as an application of the Hardy-Littlewood-Sobolev inequality.Smoothing estimates are used to provide new structural understanding for density functional theory,the Coulomb interaction energy and quantum mechanics of phase space.Intriguing connections are drawn that illustrate interplay among classical inequalities in Fourier analysis.展开更多
Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy-Sobolev-Maz'ya Term Shuang Jie PENG Jing YANG Abstract In this paper,we study the existence and nonexistence of multiple positive solut...Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy-Sobolev-Maz'ya Term Shuang Jie PENG Jing YANG Abstract In this paper,we study the existence and nonexistence of multiple positive solutions for the following problem involving Hardy-Sobolev-Maz'ya term:展开更多
The Optimal Constant in Hardy-type Inequalities Mu-Fa CHEN Abstract To estimate the optimal constant in Hardy-type inequalities,some variational formulas and approximating procedures are introduced.The known basic est...The Optimal Constant in Hardy-type Inequalities Mu-Fa CHEN Abstract To estimate the optimal constant in Hardy-type inequalities,some variational formulas and approximating procedures are introduced.The known basic estimates are improved considerably.The results are illustrated by typical examples.It is shown that the sharp factor is meaningful for each finite interval and a classical sharp model is re-examined.展开更多
All authors of papers published in this volume are listed alphabetically according to the last name of each author. Full titles are included in each first author＇s entry.
1 Copyright Submission of a manuscript implies： that the work described has not been published before （except in the form of an abstract or as part of a published lecture, review, or thesis）; that it is not under ...1 Copyright Submission of a manuscript implies： that the work described has not been published before （except in the form of an abstract or as part of a published lecture, review, or thesis）; that it is not under consideration for publication elsewhere; that its publication has been approved by all coauthors, if any,展开更多
文摘Functional Inequalities in Non-Archimedean Normed Spaces Choonkil PARK Abstract In this paper,we introduce an additive functional inequality and a quadratic functional inequality in normed spaces,and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces.Furthermore,we introduce an additive functional inequality and
文摘Nonorientable Genera of Petersen Powers Wen Zhong LIU Ting Ru SHEN Yi Chao CHEN Abstract In the paper,we prove that for every integern≥1,there exists a Petersen power P^n with nonorientable genus and Euler genus precisely n.which improves the upper bound of Mohar and Vodopivec’s result[J.Graph Theory,67,1-8(2011)]that for every integer k(2≤k≤n-1),a Petersen power P^n exists with nonorientable genus and Euler genus precisely k.Polynomials with Palindromic and Unimodal
文摘Functionals for Multilinear Fractional Embedding William BECKNERAbstract A novel representation is developed as a measure for multilinear fractional embedding.Corresponding extensions are given for the Bourgain-Brezis-Mironescu theorem and Pitt’s inequality.New results are obtained for diagonal trace restriction on submanifolds as an application of the Hardy-Littlewood-Sobolev inequality.Smoothing estimates are used to provide new structural understanding for density functional theory,the Coulomb interaction energy and quantum mechanics of phase space.Intriguing connections are drawn that illustrate interplay among classical inequalities in Fourier analysis.
文摘Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy-Sobolev-Maz'ya Term Shuang Jie PENG Jing YANG Abstract In this paper,we study the existence and nonexistence of multiple positive solutions for the following problem involving Hardy-Sobolev-Maz'ya term:
文摘The Optimal Constant in Hardy-type Inequalities Mu-Fa CHEN Abstract To estimate the optimal constant in Hardy-type inequalities,some variational formulas and approximating procedures are introduced.The known basic estimates are improved considerably.The results are illustrated by typical examples.It is shown that the sharp factor is meaningful for each finite interval and a classical sharp model is re-examined.
文摘All authors of papers published in this volume are listed alphabetically according to the last name of each author. Full titles are included in each first author＇s entry.
文摘1 Copyright Submission of a manuscript implies： that the work described has not been published before （except in the form of an abstract or as part of a published lecture, review, or thesis）; that it is not under consideration for publication elsewhere; that its publication has been approved by all coauthors, if any,
