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Lithuanian Mathematical Journal最新文献

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Ground state solutions for quasilinear Schrödinger equations with critical Berestycki–Lions nonlinearities 具有临界贝里斯基-狮子非线性的准线性薛定谔方程的基态解
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-05-28 DOI: 10.1007/s10986-024-09635-1
Jian-Xin Han, Ming-Chao Chen, Yan-Fang Xue
{"title":"Ground state solutions for quasilinear Schrödinger equations with critical Berestycki–Lions nonlinearities","authors":"Jian-Xin Han, Ming-Chao Chen, Yan-Fang Xue","doi":"10.1007/s10986-024-09635-1","DOIUrl":"https://doi.org/10.1007/s10986-024-09635-1","url":null,"abstract":"<p>We consider the quasilinear Schrödinger equation involving a general nonlinearity at critical growth. By using Jeanjean’s monotonicity trick and the Pohozaev identity we get the existence results that generalize an earlier work [H. Liu and L. Zhao, Existence results for quasilinear Schrödinger equations with a general nonlinearity, <i>Commun. Pure Appl. Anal.</i>, 19(6):3429–3444, 2020] about the subcritical case to the critical case.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141165852","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
Properties of the random effect transformation 随机效应转换的特性
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-05-21 DOI: 10.1007/s10986-024-09633-3
Rokas Puišys, Sylwia Lewkiewicz, Jonas Šiaulys
{"title":"Properties of the random effect transformation","authors":"Rokas Puišys, Sylwia Lewkiewicz, Jonas Šiaulys","doi":"10.1007/s10986-024-09633-3","DOIUrl":"https://doi.org/10.1007/s10986-024-09633-3","url":null,"abstract":"","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141116567","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
Notes on universality in short intervals and exponential shifts 关于短区间普遍性和指数移动的说明
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-05-09 DOI: 10.1007/s10986-024-09631-5
Johan Andersson, Ramūnas Garunkštis, Roma Kačinskaitė, Keita Nakai, Łukasz Pańkowski, Athanasios Sourmelidis, Rasa Steuding, Jörn Steuding, Saeree Wananiyakul
{"title":"Notes on universality in short intervals and exponential shifts","authors":"Johan Andersson, Ramūnas Garunkštis, Roma Kačinskaitė, Keita Nakai, Łukasz Pańkowski, Athanasios Sourmelidis, Rasa Steuding, Jörn Steuding, Saeree Wananiyakul","doi":"10.1007/s10986-024-09631-5","DOIUrl":"https://doi.org/10.1007/s10986-024-09631-5","url":null,"abstract":"<p>We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research was initiated by two questions proposed by Laurinčikas in a problem session of a recent workshop on universality.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140925437","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
Entire solutions of a class of binomial differential equations 一类二项式微分方程的全解
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-05-07 DOI: 10.1007/s10986-024-09632-4
Zhuo Wang, Qingcai Zhang
{"title":"Entire solutions of a class of binomial differential equations","authors":"Zhuo Wang, Qingcai Zhang","doi":"10.1007/s10986-024-09632-4","DOIUrl":"https://doi.org/10.1007/s10986-024-09632-4","url":null,"abstract":"<p>In this paper, we answer the questions posed by Gundersen and Yang about the entire solutions of a class of nonlinear homogeneous binomial differential equations and obtain explicit forms of all the entire solutions of this type of differential equations. Moreover, we provide some examples to demonstrate that the equation solutions we obtained are accurate.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140886309","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
The first moment of quadratic Dirichlet L-functions at central values 二次迪里夏特 L 函数中心值的第一矩
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-05-02 DOI: 10.1007/s10986-024-09628-0
Tingting Wen
{"title":"The first moment of quadratic Dirichlet L-functions at central values","authors":"Tingting Wen","doi":"10.1007/s10986-024-09628-0","DOIUrl":"https://doi.org/10.1007/s10986-024-09628-0","url":null,"abstract":"<p>We obtain an asymptotic formula for the smoothly weighted first moment of quadratic Dirichlet <i>L</i>-functions at central values, with explicit main terms and an error term that is “square-root” of the main term.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140830432","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
Uniform Cramér moderate deviations and Berry–Esseen bounds for superadditive bisexual branching processes in random environments 随机环境中超加性双分支过程的均匀克拉梅尔中等偏差和贝里-埃森边界
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-04-25 DOI: 10.1007/s10986-024-09627-1
Sheng Xiao, Xiangdong Liu
{"title":"Uniform Cramér moderate deviations and Berry–Esseen bounds for superadditive bisexual branching processes in random environments","authors":"Sheng Xiao, Xiangdong Liu","doi":"10.1007/s10986-024-09627-1","DOIUrl":"https://doi.org/10.1007/s10986-024-09627-1","url":null,"abstract":"","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140657907","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 hybrid mean value involving hyper-Kloosterman sums and mth Cochrane sum 涉及超克罗斯特曼和与第 m 次科克伦和的混合平均值
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-04-25 DOI: 10.1007/s10986-024-09626-2
Jiankang Wang, Zhefeng Xu
{"title":"A hybrid mean value involving hyper-Kloosterman sums and mth Cochrane sum","authors":"Jiankang Wang, Zhefeng Xu","doi":"10.1007/s10986-024-09626-2","DOIUrl":"https://doi.org/10.1007/s10986-024-09626-2","url":null,"abstract":"","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140656166","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 exceptional set for Diophantine inequality with unlike powers of primes 论与素数幂不相似的 Diophantine 不等式的例外集
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-03-19 DOI: 10.1007/s10986-024-09624-4
Huafeng Liu, Rui Liu
{"title":"On the exceptional set for Diophantine inequality with unlike powers of primes","authors":"Huafeng Liu, Rui Liu","doi":"10.1007/s10986-024-09624-4","DOIUrl":"https://doi.org/10.1007/s10986-024-09624-4","url":null,"abstract":"<p>Let <i>λ</i><sub>2</sub>, <i>λ</i><sub>3</sub>, <i>λ</i><sub>4</sub>, <i>λ</i><sub>5</sub> be nonzero real numbers, not all negative. Let <span>(mathfrak{V})</span> be a <i>well-spaced</i> sequence. Assume that <i>λ</i><sub>2</sub>/<i>λ</i><sub>3</sub> is irrational and algebraic, and <i>δ &gt;</i> 0. Let <span>(Eleft(mathfrak{V},N,delta right))</span> be the number of <span>(upsilon in mathfrak{V})</span> with <span>(upsilon le N)</span> such that the Diophantine inequality <span>(left|{lambda }_{2}{p}_{2}^{2}+{lambda }_{3}{p}_{3}^{3}+{lambda }_{4}{p}_{4}^{4}+{lambda }_{5}{p}_{5}^{5}-upsilon right|&lt;{upsilon }^{-delta })</span> has no solution in primes <i>p</i><sub>2</sub>, <i>p</i><sub>3</sub>, <i>p</i><sub>4</sub>, <i>p</i><sub>5</sub>. In this paper, we prove that for any <span>(varepsilon &gt;0,Eleft(mathfrak{V},N,delta right)ll {N}^{1-19/378+2delta +varepsilon },)</span> which refines the previous result.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140170766","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
Nodal solutions for some semipositone problemsvia bifurcation theory 通过分岔理论求解某些半正交问题的节点解
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-03-14 DOI: 10.1007/s10986-024-09625-3
Yali Zhang, Ruyun Ma
{"title":"Nodal solutions for some semipositone problemsvia bifurcation theory","authors":"Yali Zhang, Ruyun Ma","doi":"10.1007/s10986-024-09625-3","DOIUrl":"https://doi.org/10.1007/s10986-024-09625-3","url":null,"abstract":"<p>We show the existence of nodal solutions of the second-order nonlinear boundary value problem </p><span>$$begin{array}{l}-{u}^{^{primeprime} }left(xright)=lambda left(gleft(uleft(xright)right)+pleft(x,uleft(xright),{u}^{mathrm{^{prime}}}left(xright)right)right),xin left(mathrm{0,1}right), uleft(0right)=uleft(1right)=0,end{array} ({text{P}})$$</span><p>where <i>λ &gt;</i> 0 is a parameter, <i>p</i> : [0, 1]×ℝ<sup>2</sup> → ℝ and <i>g</i> : ℝ →ℝ are continuous functions, and <i>g</i>(0) = 0. For a nonnegative integer <i>k</i>, we say that a solution is nodal if it has only simple zeros in (0, 1) and has exactly <i>k</i>-1 such zeros. Under some suitable conditions, we obtain that there exists <i>λ</i><sub>∗</sub> &gt; 0 (or <i>λ</i><sup>∗</sup> &gt; 0) such that for fixed <i>k</i> ∈ {1, 2,…}, problem (P) has at least one nodal solution for <i>λ</i> ∈ (<i>k</i><sup>2</sup><i>π</i><sup>2</sup>/<i>g</i><sub>∞</sub>, <i>λ</i><sup>∗</sup>) (or <i>λ</i> ∈ (<i>λ</i><sup>∗</sup>,<i> k</i><sup>2</sup><i>π</i><sup>2</sup>/<i>g</i><sub>∞</sub>)), where <i>g</i><sub>∞</sub> = lim<sub>|<i>s</i>|→∞</sub> <i>g</i>(<i>s</i>)/<i>s</i>. The proof of our main results relies on the bifurcation technique.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150976","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
Closure under infinitely divisible distribution roots and the Embrechts–Goldie conjecture 无限可分分布根下的闭合与恩布里奇-戈尔迪猜想
IF 0.4 4区 数学
Lithuanian Mathematical Journal Pub Date : 2024-02-17 DOI: 10.1007/s10986-024-09620-8
Hui Xu, Changjun Yu, Yuebao Wang, Dongya Cheng
{"title":"Closure under infinitely divisible distribution roots and the Embrechts–Goldie conjecture","authors":"Hui Xu, Changjun Yu, Yuebao Wang, Dongya Cheng","doi":"10.1007/s10986-024-09620-8","DOIUrl":"https://doi.org/10.1007/s10986-024-09620-8","url":null,"abstract":"<p>We show that the distribution class ℒ(γ) 𝒪𝒮 is not closed under infinitely divisible distribution roots for γ &gt; 0, that is, we provide some infinitely divisible distributions belonging to the class, whereas the corresponding Lévy distributions do not. In fact, one part of these Lévy distributions belonging to the class 𝒪ℒℒ(γ) have different properties, and the other parts even do not belong to the class 𝒪ℒ. Therefore, combining with the existing related results, we give a completely negative conclusion for the subject and Embrechts–Goldie conjecture. Then we discuss some interesting issues related to the results of this paper.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139758528","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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