Pub Date : 2023-01-13DOI: 10.1142/s021919972330001x
H. Brezis, J. Mawhin, P. Mironescu
{"title":"A brief history of the Jacobian","authors":"H. Brezis, J. Mawhin, P. Mironescu","doi":"10.1142/s021919972330001x","DOIUrl":"https://doi.org/10.1142/s021919972330001x","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42683803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-15DOI: 10.1142/s0219199722500808
Chun-Chi Lin, Yang-Kai Lue, Dung The Tran
{"title":"A second-order elastic flow for path planning in ℝ2","authors":"Chun-Chi Lin, Yang-Kai Lue, Dung The Tran","doi":"10.1142/s0219199722500808","DOIUrl":"https://doi.org/10.1142/s0219199722500808","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45260410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-14DOI: 10.1142/s0219199722990012
{"title":"Author index Volume 24 (2022)","authors":"","doi":"10.1142/s0219199722990012","DOIUrl":"https://doi.org/10.1142/s0219199722990012","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47304503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-11DOI: 10.1142/s0219199722500778
Grzegorz Bajor, A. Cichocka, L. van Wyk, M. Ziembowski
{"title":"Maximal commutative subalgebras of leavitt path algebras","authors":"Grzegorz Bajor, A. Cichocka, L. van Wyk, M. Ziembowski","doi":"10.1142/s0219199722500778","DOIUrl":"https://doi.org/10.1142/s0219199722500778","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45910425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-11DOI: 10.1142/s0219199722500730
Hao Tang, Zhian Wang
{"title":"Strong solutions to a nonlinear stochastic aggregation-diffusion equations","authors":"Hao Tang, Zhian Wang","doi":"10.1142/s0219199722500730","DOIUrl":"https://doi.org/10.1142/s0219199722500730","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48114893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-11DOI: 10.1142/s0219199722500729
P. Ho, Jinwoo Shin
{"title":"Slowly converging yamabe-type flow on manifolds with boundary","authors":"P. Ho, Jinwoo Shin","doi":"10.1142/s0219199722500729","DOIUrl":"https://doi.org/10.1142/s0219199722500729","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46679496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-09DOI: 10.1142/s0219199723500177
M. Ballesteros, Gerardo Franco C'ordova, I. Naumkin, H. Schulz-Baldes
This paper proves new results on spectral and scattering theory for matrix-valued Schr"odinger operators on the discrete line with non-compactly supported perturbations whose first moments are assumed to exist. In particular, a Levinson theorem is proved, in which a relation between scattering data and spectral properties (bound and half bound states) of the corresponding Hamiltonians is derived. The proof is based on stationary scattering theory with prominent use of Jost solutions at complex energies that are controlled by Volterra-type integral equations.
{"title":"Levinson theorem for discrete Schrodinger operators on the line with matrix potentials having a first moment","authors":"M. Ballesteros, Gerardo Franco C'ordova, I. Naumkin, H. Schulz-Baldes","doi":"10.1142/s0219199723500177","DOIUrl":"https://doi.org/10.1142/s0219199723500177","url":null,"abstract":"This paper proves new results on spectral and scattering theory for matrix-valued Schr\"odinger operators on the discrete line with non-compactly supported perturbations whose first moments are assumed to exist. In particular, a Levinson theorem is proved, in which a relation between scattering data and spectral properties (bound and half bound states) of the corresponding Hamiltonians is derived. The proof is based on stationary scattering theory with prominent use of Jost solutions at complex energies that are controlled by Volterra-type integral equations.","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47626727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.1142/s0219199722500717
Krzysztof Piszczek
{"title":"Derivations of Kothe Echelon Algebras of Order Zero and Infinity","authors":"Krzysztof Piszczek","doi":"10.1142/s0219199722500717","DOIUrl":"https://doi.org/10.1142/s0219199722500717","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48677415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-01DOI: 10.1142/s0219199723500207
Jo'e Brendel, F. Schlenk
The complex projective plane CP^2 contains certain Lagrangian CW-complexes called pinwheels, which have interesting rigidity properties related to solutions of the Markov equation. We compute the Gromov width of the complement of pinwheels and show that it is strictly smaller than the Gromov width of CP^2, meaning that pinwheels are Lagrangian barriers in the sense of Biran. The accumulation points of the set of these Gromov widths are in a simple bijection with the Lagrange spectrum below 3.
{"title":"Pinwheels as Lagrangian barriers","authors":"Jo'e Brendel, F. Schlenk","doi":"10.1142/s0219199723500207","DOIUrl":"https://doi.org/10.1142/s0219199723500207","url":null,"abstract":"The complex projective plane CP^2 contains certain Lagrangian CW-complexes called pinwheels, which have interesting rigidity properties related to solutions of the Markov equation. We compute the Gromov width of the complement of pinwheels and show that it is strictly smaller than the Gromov width of CP^2, meaning that pinwheels are Lagrangian barriers in the sense of Biran. The accumulation points of the set of these Gromov widths are in a simple bijection with the Lagrange spectrum below 3.","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41573385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-29DOI: 10.1142/s0219199722500377
Jonison L. Carvalho, Marcelo F. Furtado, Everaldo S. Medeiros
In this paper, we prove a new Friedrich-type inequality. As an application, we derive some existence and non-existence results to the quasilinear elliptic problem with Robin boundary condition where is an exterior domain such that .
{"title":"On a Hardy–Sobolev-type inequality and applications","authors":"Jonison L. Carvalho, Marcelo F. Furtado, Everaldo S. Medeiros","doi":"10.1142/s0219199722500377","DOIUrl":"https://doi.org/10.1142/s0219199722500377","url":null,"abstract":"<p>In this paper, we prove a new Friedrich-type inequality. As an application, we derive some existence and non-existence results to the quasilinear elliptic problem with Robin boundary condition <disp-formula-group><span><math altimg=\"eq-00001.gif\" display=\"block\" overflow=\"scroll\"><mrow><mfenced close=\"\" open=\"{\" separators=\"\"><mrow><mtable columnlines=\"none\" equalcolumns=\"false\" equalrows=\"false\"><mtr><mtd columnalign=\"left\"><mo stretchy=\"false\">−</mo><mstyle><mtext>div</mtext></mstyle><mo stretchy=\"false\">(</mo><mo>|</mo><mo>∇</mo><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>N</mi><mo stretchy=\"false\">−</mo><mn>2</mn></mrow></msup><mo>∇</mo><mi>u</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">+</mo><mi>h</mi><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">)</mo><mo>|</mo><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>q</mi><mo stretchy=\"false\">−</mo><mn>2</mn></mrow></msup><mi>u</mi><mo>=</mo><mi>λ</mi><mi>k</mi><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">)</mo><mo>|</mo><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>p</mi><mo stretchy=\"false\">−</mo><mn>2</mn></mrow></msup><mi>u</mi><mspace width=\"1em\"></mspace></mtd><mtd columnalign=\"left\"><mstyle><mtext>in </mtext></mstyle><mi mathvariant=\"normal\">Ω</mi><mo>,</mo></mtd></mtr><mtr><mtd columnalign=\"left\"><mo>|</mo><mo>∇</mo><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>N</mi><mo stretchy=\"false\">−</mo><mn>2</mn></mrow></msup><mo stretchy=\"false\">(</mo><mo>∇</mo><mi>u</mi><mo stretchy=\"false\">⋅</mo><mi>ν</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">+</mo><mo>|</mo><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>N</mi><mo stretchy=\"false\">−</mo><mn>2</mn></mrow></msup><mi>u</mi><mo>=</mo><mn>0</mn><mspace width=\"1em\"></mspace></mtd><mtd columnalign=\"left\"><mstyle><mtext>on </mtext></mstyle><mi>∂</mi><mi mathvariant=\"normal\">Ω</mi><mo>,</mo></mtd></mtr></mtable></mrow></mfenced></mrow></math></span><span></span></disp-formula-group> where <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mi mathvariant=\"normal\">Ω</mi><mo>⊂</mo><msup><mrow><mi>ℝ</mi></mrow><mrow><mi>N</mi></mrow></msup></math></span><span></span> is an exterior domain such that <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mn>0</mn><mo>∉</mo><mover accent=\"false\"><mrow><mi mathvariant=\"normal\">Ω</mi></mrow><mo accent=\"true\">¯</mo></mover></math></span><span></span>.</p>","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138512912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","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：