Pub Date : 2021-06-01DOI: 10.4208/ATA.2021.PR80.12
global sci
{"title":"Gradient Estimates of Solutions to the Conductivity Problem with Flatter Insulators","authors":"global sci","doi":"10.4208/ATA.2021.PR80.12","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.12","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"38 1","pages":"114-128"},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74783004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ATA.2021.V37N1.PREFACE
global sci
{"title":"Special Issue Dedicated to Professor Prof. Paul H. Rabinowitz's 80th Birthday","authors":"global sci","doi":"10.4208/ATA.2021.V37N1.PREFACE","DOIUrl":"https://doi.org/10.4208/ATA.2021.V37N1.PREFACE","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"72 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75052438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ATA.2021.PR80.11
global sci
{"title":"Shadowing Homoclinic Chains to a Symplectic Critical Manifold","authors":"global sci","doi":"10.4208/ATA.2021.PR80.11","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.11","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"41 1","pages":"1-23"},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81318581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ATA.2021.PR80.03
global sci
. In this paper we introduce a new deformation argument, in which C 0 -group action and a new type of Palais-Smale condition PSP play important roles. This type of deformation results are studied in [17, 21] and has many different applications [10, 11, 17, 21] et al. Typically it can be applied to nonlinear scalar field equations. We give a survey in an abstract functional setting. We also present another application to nonlinear elliptic problems in strip-like domains. Under conditions related to [5,6], we show the existence of infinitely many solutions. This extends the results in [8]
{"title":"Deformation Argument under PSP Condition and Applications","authors":"global sci","doi":"10.4208/ATA.2021.PR80.03","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.03","url":null,"abstract":". In this paper we introduce a new deformation argument, in which C 0 -group action and a new type of Palais-Smale condition PSP play important roles. This type of deformation results are studied in [17, 21] and has many different applications [10, 11, 17, 21] et al. Typically it can be applied to nonlinear scalar field equations. We give a survey in an abstract functional setting. We also present another application to nonlinear elliptic problems in strip-like domains. Under conditions related to [5,6], we show the existence of infinitely many solutions. This extends the results in [8]","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"4 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79761583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ata.2021.v37n3.preface
global sci
{"title":"Special Issue Dedicated to Professor Shanzhen Lu's 80th Birthday","authors":"global sci","doi":"10.4208/ata.2021.v37n3.preface","DOIUrl":"https://doi.org/10.4208/ata.2021.v37n3.preface","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"38 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80918740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ATA.2021.PR80.07
global sci
{"title":"Classification of Positive Ground State Solutions with Different Morse Indices for Nonlinear $N$-Coupled Schrodinger System","authors":"global sci","doi":"10.4208/ATA.2021.PR80.07","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.07","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"20 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81529684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ata.2021.lu80.03
global sci
. Let G be a stratified Lie group and let { X 1 , · · · , X n 1 } be a basis of the first layer of the Lie algebra of G . The sub-Laplacian ∆ G is defined by ∆ G = − n 1 ∑ j = 1 X 2 j . The operator defined by ∆ G − n 1 ∑ j = 1 X j p p X j is called the Ornstein-Uhlenbeck operator on G , where p is a heat kernel at time 1 on G . In this paper, we investigate Gaussian BV functions and Gaussian BV capacities associated with the Ornstein-Uhlenbeck operator on the stratified Lie group
． 设G是一个分层李群，设{X 1，···，X n 1}是G的李代数第一层的一个基。次拉普拉斯函数∆G定义为∆G =−n 1∑j = 1 X 2j。由∆G−n 1∑j = 1 X j p p X j定义的算子称为G上的Ornstein-Uhlenbeck算子，其中p是G上时刻1的热核。本文研究了分层李群上与Ornstein-Uhlenbeck算子相关的高斯BV函数和高斯BV容量
{"title":"Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups","authors":"global sci","doi":"10.4208/ata.2021.lu80.03","DOIUrl":"https://doi.org/10.4208/ata.2021.lu80.03","url":null,"abstract":". Let G be a stratified Lie group and let { X 1 , · · · , X n 1 } be a basis of the first layer of the Lie algebra of G . The sub-Laplacian ∆ G is defined by ∆ G = − n 1 ∑ j = 1 X 2 j . The operator defined by ∆ G − n 1 ∑ j = 1 X j p p X j is called the Ornstein-Uhlenbeck operator on G , where p is a heat kernel at time 1 on G . In this paper, we investigate Gaussian BV functions and Gaussian BV capacities associated with the Ornstein-Uhlenbeck operator on the stratified Lie group","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78826590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ata.oa-2020-0021
global sci
{"title":"Regularity Results for a Nonlinear Elliptic-Parabolic System with Oscillating Coefficients","authors":"global sci","doi":"10.4208/ata.oa-2020-0021","DOIUrl":"https://doi.org/10.4208/ata.oa-2020-0021","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"35 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78923594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ata.2021.lu80.08
global sci
{"title":"Borderline Weighted Estimates for Commutators of Fractional Integrals","authors":"global sci","doi":"10.4208/ata.2021.lu80.08","DOIUrl":"https://doi.org/10.4208/ata.2021.lu80.08","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"33 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82811959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-01DOI: 10.4208/ATA.2021.PR80.02
global sci
{"title":"Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity","authors":"global sci","doi":"10.4208/ATA.2021.PR80.02","DOIUrl":"https://doi.org/10.4208/ATA.2021.PR80.02","url":null,"abstract":"","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"23 1","pages":"209-229"},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88897570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：