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Pacific Journal of Mathematics最新文献

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Limit cycles of linear vector fields on(𝕊2)m× ℝn (𝕊2)mx∈n上线性向量场的极限环
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-07-26 DOI: 10.2140/pjm.2023.324.249
Clara Cufí-Cabré, J. Llibre
{"title":"Limit cycles of linear vector fields on\u0000(𝕊2)m× ℝn","authors":"Clara Cufí-Cabré, J. Llibre","doi":"10.2140/pjm.2023.324.249","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.249","url":null,"abstract":"It is well known that linear vector fields defined in (cid:82) n cannot have limit cycles, but this is not the case for linear vector fields defined in other manifolds. We study the existence of limit cycles bifurcating from a continuum of periodic orbits of linear vector fields on manifolds of the form ( (cid:83) 2 ) m × (cid:82) n when such vector fields are perturbed inside the class of all linear vector fields. The study is done using averaging theory. We also present an open problem about the maximum number of limit cycles of linear vector fields on ( (cid:83) 2 ) m × (cid:82) n .","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68570905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Spike solutions for a fractional elliptic equation in a compact Riemannian manifold 紧致黎曼流形中分数椭圆方程的Spike解
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-06-22 DOI: 10.2140/pjm.2023.324.1
Imene Bendahou, Zied Khemiri, F. Mahmoudi
{"title":"Spike solutions for a fractional elliptic equation in a compact Riemannian manifold","authors":"Imene Bendahou, Zied Khemiri, F. Mahmoudi","doi":"10.2140/pjm.2023.324.1","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.1","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42182529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Art Therapy for Children in Short-Term Hospitalization. 为短期住院儿童提供艺术疗法。
IF 0.7 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-06-15 eCollection Date: 2023-01-01 DOI: 10.5334/cie.63
Meirav Hen
{"title":"Art Therapy for Children in Short-Term Hospitalization.","authors":"Meirav Hen","doi":"10.5334/cie.63","DOIUrl":"10.5334/cie.63","url":null,"abstract":"<p><p>Pediatric hospitalization is known to be associated with adverse developmental and psychosocial outcomes for young patients. Art therapy is a direct means of addressing the emotional world of the hospitalized child. However, the hospital setting sometimes requires adaptations of this practice to a short-term mode. To explore the characteristics of the adjusted short-term art therapy mode, 10 experienced art therapists who work with hospitalized children were interviewed. Results highlighted the unique aspects of working with children who enter short-term hospitalization, addressing the unknown but most likely brief duration of art therapy and the issues involved, such as the need to use problem-focused strategies, the diffused therapeutic space, interaction with a multidisciplinary staff, and parent's presence during the therapy session. Integrating the principles of art therapy with the principles of short-term therapy, this paper explores a model for carrying out short-term art therapy with children undergoing short hospitalization.</p>","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"194 1","pages":"83-95"},"PeriodicalIF":0.7,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11104361/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90458536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Loewner chains applied to g-starlike mappingsof complex order of complex Banach spaces Loewer链在复Banach空间复阶g-星形映射中的应用
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-06-02 DOI: 10.2140/pjm.2023.323.401
Xiaofei Zhang, Shuxia Feng, Tai-Shun Liu, Jianfei Wang
{"title":"Loewner chains applied to g-starlike mappings\u0000of complex order of complex Banach spaces","authors":"Xiaofei Zhang, Shuxia Feng, Tai-Shun Liu, Jianfei Wang","doi":"10.2140/pjm.2023.323.401","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.401","url":null,"abstract":"This paper is devoted to studying geometric and analytic properties of g - starlike mappings of complex order λ . By using Loewner chains, we obtain the growth theorems for g -starlike mappings of complex order λ on the unit ball in reflexive complex Banach spaces, which generalize some results of Graham, Hamada and Kohr. As applications, several different kinds of distortion theorems for g -starlike mappings of complex order λ are obtained. Finally, we prove that the Roper–Suffridge extension operators preserve the property of g -starlike mappings of complex order λ in complex Banach spaces, which generalizes many classical results.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46452487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Nonexistence of negative weight derivations of the local k-th Hessian algebras associated to isolated singularities 与孤立奇点相关的局部k- Hessian代数的负权导数的不存在性
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.129
Guorui Ma, Stephen S.-T. Yau, Huaiqing Zuo
{"title":"Nonexistence of negative weight derivations of the local k-th Hessian algebras associated to isolated singularities","authors":"Guorui Ma, Stephen S.-T. Yau, Huaiqing Zuo","doi":"10.2140/pjm.2023.323.129","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.129","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135791799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Rigidity of 3D spherical caps via μ-bubbles μ气泡三维球帽的刚度
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.89
Yuhao Hu, Peng Liu, Yuguang Shi
{"title":"Rigidity of 3D spherical caps via μ-bubbles","authors":"Yuhao Hu, Peng Liu, Yuguang Shi","doi":"10.2140/pjm.2023.323.89","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.89","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135792319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The structure of the unramified abelian Iwasawa module of some number fields 若干数域的非分枝阿贝尔Iwasawa模的结构
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.173
Ali Mouhib
{"title":"The structure of the unramified abelian Iwasawa module of some number fields","authors":"Ali Mouhib","doi":"10.2140/pjm.2023.323.173","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.173","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135793065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Combinatorial properties of nonarchimedean convex sets 非阿基米德凸集的组合性质
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.1
Chernikov, Artem, Mennen, Alex
{"title":"Combinatorial properties of nonarchimedean convex sets","authors":"Chernikov, Artem, Mennen, Alex","doi":"10.2140/pjm.2023.323.1","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.1","url":null,"abstract":"We study combinatorial properties of convex sets over arbitrary valued fields. We demonstrate analogs of some classical results for convex sets over the reals (e.g. the fractional Helly theorem and B'ar'any's theorem on points in many simplices), along with some additional properties not satisfied by convex sets over the reals, including finite breadth and VC-dimension. These results are deduced from a simple combinatorial description of modules over the valuation ring in a spherically complete valued field.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135741783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The classification of nondegenerate uniconnected cycle sets 非退化单连通循环集的分类
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.205
Wolfgang Rump
{"title":"The classification of nondegenerate uniconnected cycle sets","authors":"Wolfgang Rump","doi":"10.2140/pjm.2023.323.205","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.205","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"127 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135792508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 homology theories of cubical digraphs 关于三次有向图的同调理论
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-03 DOI: 10.2140/pjm.2023.322.39
A. Grigor’yan, Y. Muranov
{"title":"On homology theories of cubical digraphs","authors":"A. Grigor’yan, Y. Muranov","doi":"10.2140/pjm.2023.322.39","DOIUrl":"https://doi.org/10.2140/pjm.2023.322.39","url":null,"abstract":". We prove the equivalence of the singular cubical homology and the path homology on the category of cubical digraphs. As a corollary we obtain a new relation between the singular cubical homology of digraphs and simplicial homology.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41955520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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