Boundary Value Problems最新文献

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Unique iterative solution for high-order nonlinear fractional q-difference equation based on ψ − ( h , r ) $psi -(h,r)$ -concave operators 基于ψ−(h,r)$ psi -(h,r)$ -凹算子的高阶非线性分数阶q差分方程的唯一迭代解
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-04-04 DOI: 10.1186/s13661-023-01718-1
Jufang Wang, Siqing Wang, Changlong Yu
{"title":"Unique iterative solution for high-order nonlinear fractional q-difference equation based on \u0000 \u0000 \u0000 \u0000 \u0000 ψ\u0000 −\u0000 (\u0000 h\u0000 ,\u0000 r\u0000 )\u0000 \u0000 $psi -(h,r)$\u0000 -concave operators","authors":"Jufang Wang, Siqing Wang, Changlong Yu","doi":"10.1186/s13661-023-01718-1","DOIUrl":"https://doi.org/10.1186/s13661-023-01718-1","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65776881","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
Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities 一类包含凹凸非线性的$p(x)$-Kirchhoff方程的非负非平凡解
4区 数学
Boundary Value Problems Pub Date : 2023-04-04 DOI: 10.1186/s13661-023-01719-0
Changmu Chu, Zhongju He
{"title":"Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities","authors":"Changmu Chu, Zhongju He","doi":"10.1186/s13661-023-01719-0","DOIUrl":"https://doi.org/10.1186/s13661-023-01719-0","url":null,"abstract":"Abstract In this paper, we study the existence of a class of $p(x)$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:math> -Kirchhoff equation involving concave-convex nonlinearities. The main tools used are the perturbation technique, variational method, and a priori estimation.","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136188999","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
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain 双连通域上拉普拉斯方程Cauchy问题的局部正则化格式
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-04-01 DOI: 10.1186/s13661-023-01717-2
Xingtian Gong, Shuwei Yang
{"title":"A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain","authors":"Xingtian Gong, Shuwei Yang","doi":"10.1186/s13661-023-01717-2","DOIUrl":"https://doi.org/10.1186/s13661-023-01717-2","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49047211","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
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current 南极绕极流模型二阶奇异Dirichlet边值问题多解的存在性理论
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-03-31 DOI: 10.1186/s13661-023-01720-7
Yongxin Jiang, W. Shi, Xiaojuan Li
{"title":"Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current","authors":"Yongxin Jiang, W. Shi, Xiaojuan Li","doi":"10.1186/s13661-023-01720-7","DOIUrl":"https://doi.org/10.1186/s13661-023-01720-7","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43365071","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 the blow-up criterion for the Hall-MHD problem with partial dissipation in $mathbb{R}^{3}$ $mathbb{R}^{3}$中部分耗散的Hall-MHD问题的爆破判据
4区 数学
Boundary Value Problems Pub Date : 2023-03-31 DOI: 10.1186/s13661-023-01723-4
Baoying Du
{"title":"On the blow-up criterion for the Hall-MHD problem with partial dissipation in $mathbb{R}^{3}$","authors":"Baoying Du","doi":"10.1186/s13661-023-01723-4","DOIUrl":"https://doi.org/10.1186/s13661-023-01723-4","url":null,"abstract":"Abstract In this paper, we investigate the 3D incompressible Hall-magnetohydrodynamics with partial dissipation. Based on the results in (Du in Bound. Value Probl. 2022:6, 2022; Du and Liu in Acta Math. Sci. 42A:5, 2022; Fei and Xiang in J. Math. Phys. 56:051504, 2015), we establish an improved blow-up criterion for classical solutions. Furthermore, using the blow-up criterion, we also obtain the existence of the classical solutions only under the condition that the initial data $|V_{0}|_{H^{1}}+|B_{0}|_{H^{2}}$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mrow> <mml:mo>∥</mml:mo> <mml:msub> <mml:mi>V</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>∥</mml:mo> </mml:mrow> <mml:msup> <mml:mi>H</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:msub> <mml:mo>+</mml:mo> <mml:msub> <mml:mrow> <mml:mo>∥</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>∥</mml:mo> </mml:mrow> <mml:msup> <mml:mi>H</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:msub> </mml:math> are sufficiently small.","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135788031","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
A note on inhomogeneous fractional Schrödinger equations 关于非齐次分数阶Schrödinger方程的一个注记
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-03-30 DOI: 10.1186/s13661-023-01721-6
T. Saanouni, S. Boulaaras, Congming Peng
{"title":"A note on inhomogeneous fractional Schrödinger equations","authors":"T. Saanouni, S. Boulaaras, Congming Peng","doi":"10.1186/s13661-023-01721-6","DOIUrl":"https://doi.org/10.1186/s13661-023-01721-6","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49543148","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
Existence of positive solutions for Lidstone boundary value problems on time scales 时间尺度上Lidstone边值问题正解的存在性
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-03-29 DOI: 10.1186/s13661-023-01707-4
Erbil Çetin, F. Topal, R. Agarwal
{"title":"Existence of positive solutions for Lidstone boundary value problems on time scales","authors":"Erbil Çetin, F. Topal, R. Agarwal","doi":"10.1186/s13661-023-01707-4","DOIUrl":"https://doi.org/10.1186/s13661-023-01707-4","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47730307","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
Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group Heisenberg群上抛物型方程和系统解的不存在性结果
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-03-22 DOI: 10.1186/s13661-023-01714-5
W. Shi
{"title":"Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group","authors":"W. Shi","doi":"10.1186/s13661-023-01714-5","DOIUrl":"https://doi.org/10.1186/s13661-023-01714-5","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42622401","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
A necessary and sufficient condition of blow-up for a nonlinear equation 一类非线性方程爆破的充分必要条件
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-03-21 DOI: 10.1186/s13661-023-01716-3
Miao Liu, Jiangang Tang, S. Lai
{"title":"A necessary and sufficient condition of blow-up for a nonlinear equation","authors":"Miao Liu, Jiangang Tang, S. Lai","doi":"10.1186/s13661-023-01716-3","DOIUrl":"https://doi.org/10.1186/s13661-023-01716-3","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44073314","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 plate equations driven by colored noise on unbounded domains 无界域上有色噪声驱动的板方程的渐近性态
IF 1.7 4区 数学
Boundary Value Problems Pub Date : 2023-03-17 DOI: 10.1186/s13661-023-01715-4
Xiaobin Yao
{"title":"Asymptotic behavior of plate equations driven by colored noise on unbounded domains","authors":"Xiaobin Yao","doi":"10.1186/s13661-023-01715-4","DOIUrl":"https://doi.org/10.1186/s13661-023-01715-4","url":null,"abstract":"","PeriodicalId":55333,"journal":{"name":"Boundary Value Problems","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41633705","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
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