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A CERTAIN KÄHLER POTENTIAL OF THE POINCARÉ METRIC AND ITS CHARACTERIZATION poincarÉ度规的某种kÄhler势及其表征
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190640
Youngook Choi, Kang-Hyurk Lee, Sungmin Yoo
{"title":"A CERTAIN KÄHLER POTENTIAL OF THE POINCARÉ METRIC AND ITS CHARACTERIZATION","authors":"Youngook Choi, Kang-Hyurk Lee, Sungmin Yoo","doi":"10.4134/JKMS.J190640","DOIUrl":"https://doi.org/10.4134/JKMS.J190640","url":null,"abstract":"We will show a rigidity of a Kähler potential of the Poincaré metric with a constant length differential.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
STATIC AND RELATED CRITICAL SPACES WITH HARMONIC CURVATURE AND THREE RICCI EIGENVALUES 具有调和曲率和三里奇特征值的静态及相关临界空间
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190685
Jong Su Kim
{"title":"STATIC AND RELATED CRITICAL SPACES WITH HARMONIC CURVATURE AND THREE RICCI EIGENVALUES","authors":"Jong Su Kim","doi":"10.4134/JKMS.J190685","DOIUrl":"https://doi.org/10.4134/JKMS.J190685","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70513362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
GRADIENT ESTIMATES FOR ELLIPTIC EQUATIONS IN DIVERGENCE FORM WITH PARTIAL DINI MEAN OSCILLATION COEFFICIENTS 具有偏均值振荡系数的发散型椭圆方程的梯度估计
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190777
Jongkeun Choi, Seick Kim, Kyungrok Lee
{"title":"GRADIENT ESTIMATES FOR ELLIPTIC EQUATIONS IN DIVERGENCE FORM WITH PARTIAL DINI MEAN OSCILLATION COEFFICIENTS","authors":"Jongkeun Choi, Seick Kim, Kyungrok Lee","doi":"10.4134/JKMS.J190777","DOIUrl":"https://doi.org/10.4134/JKMS.J190777","url":null,"abstract":"We provide detailed proofs for local gradient estimates for elliptic equations in divergence form with partial Dini mean oscillation coefficients in a ball and a half ball.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70513399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS 具有无穷多个解的分数阶schrÖdinger-poisson系统
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190156
T. Jin, Zhipeng Yang
{"title":"THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS","authors":"T. Jin, Zhipeng Yang","doi":"10.4134/JKMS.J190156","DOIUrl":"https://doi.org/10.4134/JKMS.J190156","url":null,"abstract":". In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schr¨odinger-Poisson sys- tems. We consider different superlinear growth assumptions on the nonlinearity, starting from the well-know Ambrosetti-Rabinowitz type condi- tion. We obtain three different existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schr¨odinger-Poisson systems to the nonlocal fractional setting.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
TRAFFIC FLOW MODELS WITH NONLOCAL LOOKING AHEAD-BEHIND DYNAMICS 具有非局部前后视动力学的交通流模型
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190488
Yongki Lee
{"title":"TRAFFIC FLOW MODELS WITH NONLOCAL LOOKING AHEAD-BEHIND DYNAMICS","authors":"Yongki Lee","doi":"10.4134/JKMS.J190488","DOIUrl":"https://doi.org/10.4134/JKMS.J190488","url":null,"abstract":"Motivated by the traffic flow model with Arrhenius lookahead relaxation dynamics introduced in [25], this paper proposes a traffic flow model with look ahead relaxation-behind intensification by inserting look behind intensification dynamics to the flux. Finite time shock formation conditions in the proposed model with various types of interaction potentials are identified. Several numerical experiments are performed in order to demonstrate the performance of the modified model. It is observed that, comparing to other well-known macroscopic traffic flow models, the model equipped with look ahead relaxation-behind intensification has both enhanced dispersive and smoothing effects","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
CYCLOTOMIC QUIVER HECKE ALGEBRAS CORRESPONDING TO MINUSCULE REPRESENTATIONS 对应于极小表示的切环颤振代数
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190647
Park Euiyong
{"title":"CYCLOTOMIC QUIVER HECKE ALGEBRAS CORRESPONDING TO MINUSCULE REPRESENTATIONS","authors":"Park Euiyong","doi":"10.4134/JKMS.J190647","DOIUrl":"https://doi.org/10.4134/JKMS.J190647","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70512527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ASYMPTOTIC BEHAVIOR OF THE INVERSE OF TAILS OF HURWITZ ZETA FUNCTION hurwitz zeta函数尾逆的渐近性质
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190789
Ho-Hyeong Lee, Jong-Do Park
{"title":"ASYMPTOTIC BEHAVIOR OF THE INVERSE OF TAILS OF HURWITZ ZETA FUNCTION","authors":"Ho-Hyeong Lee, Jong-Do Park","doi":"10.4134/JKMS.J190789","DOIUrl":"https://doi.org/10.4134/JKMS.J190789","url":null,"abstract":"This paper deals with the inverse of tails of Hurwitz zeta function. More precisely, for any positive integer s ≥ 2 and 0 ≤ a < 1, we give an algorithm for finding a simple form of fs,a(n) such that","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70513501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRODINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN R-N 一类含分数阶p-拉普拉斯方程弱解的存在性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J180785
Jae‐Myoung Kim, Yun-Ho Kim, Jongrak Lee
{"title":"EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRODINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN R-N","authors":"Jae‐Myoung Kim, Yun-Ho Kim, Jongrak Lee","doi":"10.4134/JKMS.J180785","DOIUrl":"https://doi.org/10.4134/JKMS.J180785","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
CONSTRUCTION OF RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS: O + (2n, 2 r ) CASE 生成KLOOSTERMAN和幂矩的递推公式的构造:0 + (2n, 2r)情况
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190225
Dae San Kim
{"title":"CONSTRUCTION OF RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS: O + (2n, 2 r ) CASE","authors":"Dae San Kim","doi":"10.4134/JKMS.J190225","DOIUrl":"https://doi.org/10.4134/JKMS.J190225","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS 次线性期望下扩展独立随机变量的完全收敛性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190093
X. Deng, Xuejun Wang
{"title":"ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS","authors":"X. Deng, Xuejun Wang","doi":"10.4134/JKMS.J190093","DOIUrl":"https://doi.org/10.4134/JKMS.J190093","url":null,"abstract":". In this paper, we establish complete convergence for sequences of extended independent random variables and arrays of rowwise ex- tended independent random variables under sub-linear expectations in Peng’s framework. The results obtained in this paper extend the corre- sponding ones of Baum and Katz [1] and Hu and Taylor [11] from classical probability space to sub-linear expectation space.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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