Annali di Matematica Pura ed Applicata最新文献_第9页

Optimal regularity of the thin obstacle problem by an epiperimetric inequality 薄障碍物问题的最优正则性表征不等式

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-07 DOI: 10.1007/s10231-023-01403-1

Matteo Carducci

引用次数: 0

Positive flow-spines and contact 3-manifolds, II 正流棘与接触三漫游，II

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-07 DOI: 10.1007/s10231-023-01400-4

Ippei Ishii, Masaharu Ishikawa, Yuya Koda, Hironobu Naoe

引用次数: 0

Double-tower solutions for higher-order prescribed curvature problem 高阶规定曲率问题的双塔解法

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-06 DOI: 10.1007/s10231-023-01404-0

Yuan Gao, Yuxia Guo, Yichen Hu

引用次数: 0

Existence and asymptotic behavior of ground states for linearly coupled systems involving exponential growth 涉及指数增长的线性耦合系统基态的存在性和渐近行为

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-05 DOI: 10.1007/s10231-023-01407-x

Uberlandio B. Severo, José Carlos de Albuquerque, Edjane O. dos Santos

引用次数: 0

Three dimensional Lie groups of scalar Randers type 标量兰德型的三维李群

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-01 DOI: 10.1007/s10231-023-01401-3

Lun Zhang, Libing Huang

引用次数: 0

Robin problems for elliptic equations with singular drifts on Lipschitz domains Lipschitz区域上奇异漂移椭圆方程的Robin问题

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-11-28 DOI: 10.1007/s10231-023-01399-8

Wenxian Ma, Sibei Yang

{"title":"Robin problems for elliptic equations with singular drifts on Lipschitz domains","authors":"Wenxian Ma, Sibei Yang","doi":"10.1007/s10231-023-01399-8","DOIUrl":"10.1007/s10231-023-01399-8","url":null,"abstract":"<div><p>Let <span>(nge 2)</span> and <span>(Omega subset mathbb {R}^n)</span> be a bounded Lipschitz domain. Assume that <span>(textbf{b}in L^{n*}(Omega ;mathbb {R}^n))</span> and <span>(gamma )</span> is a non-negative function on <span>(partial Omega )</span> satisfying some mild assumptions, where <span>(n^*:=n)</span> when <span>(nge 3)</span> and <span>(n^*in (2,infty ))</span> when <span>(n=2)</span>. In this article, we establish the unique solvability of the Robin problems </p><div><div><span>$$begin{aligned} left{ begin{aligned} -Delta u+textrm{div}(utextbf{b})&=f{} & {} text {in} Omega , left( nabla u-utextbf{b}right) cdot varvec{nu }+gamma u&=u_R{} & {} text {on} partial Omega end{aligned}right. end{aligned}$$</span></div></div><p>and </p><div><div><span>$$begin{aligned} left{ begin{aligned} -Delta v-textbf{b}cdot nabla v&=g{} & {} text {in} Omega , nabla vcdot varvec{nu }+gamma v&=v_R{} & {} text {on} partial Omega end{aligned}right. end{aligned}$$</span></div></div><p>in the Bessel potential space <span>(L^p_alpha (Omega ))</span>, where <span>(alpha in (0,2))</span> and <span>(pin (1,infty ))</span> satisfy some restraint conditions, and <span>(varvec{nu })</span> denotes the outward unit normal to the boundary <span>(partial Omega )</span>. The results obtained in this article extend the corresponding results established by Kim and Kwon (Trans Am Math Soc 375:6537–6574, 2022) for the Dirichlet and the Neumann problems to the case of the Robin problem.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138520697","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 prime graphs of groups with arithmetically small composition factors 具有算术上小的组成因子的群的素数图

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-11-26 DOI: 10.1007/s10231-023-01388-x

Timothy J. Edwards, Thomas Michael Keller, Ryan M. Pesak, Karthik Sellakumaran Latha

引用次数: 0

On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation 给定接触角的曲线域平均曲率流的最小运动格式及其计算

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-11-18 DOI: 10.1007/s10231-023-01398-9

Tokuhiro Eto, Yoshikazu Giga

引用次数: 0

Elastic graphs with clamped boundary and length constraints 具有箝位边界和长度约束的弹性图形

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-11-10 DOI: 10.1007/s10231-023-01396-x

Anna Dall’Acqua, Klaus Deckelnick

引用次数: 0

A counterexample to (L^{infty })-gradient type estimates for Ornstein–Uhlenbeck operators Ornstein-Uhlenbeck 算子的（L^{infty }）梯度类型估计的反例

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-10-27 DOI: 10.1007/s10231-023-01389-w

Emanuele Dolera, Enrico Priola

{"title":"A counterexample to (L^{infty })-gradient type estimates for Ornstein–Uhlenbeck operators","authors":"Emanuele Dolera, Enrico Priola","doi":"10.1007/s10231-023-01389-w","DOIUrl":"10.1007/s10231-023-01389-w","url":null,"abstract":"<div><p>Let <span>((lambda _k))</span> be a strictly increasing sequence of positive numbers such that <span>({sum _{k=1}^{infty } frac{1}{lambda _k} < infty })</span>. Let <i>f</i> be a bounded smooth function and denote by <span>(u= u^f)</span> the bounded classical solution to </p><div><div><span>$$begin{aligned} u(x) - frac{1}{2}sum _{k=1}^m D^2_{kk} u(x) + sum _{k =1}^m lambda _k x_k D_k u(x) = f(x),quad x in {{mathbb {R}}}^m . end{aligned}$$</span></div></div><p>It is known that the following dimension-free estimate holds: </p><div><div><span>$$begin{aligned} displaystyle int _{{{mathbb {R}}}^m}! left[ sum _{k=1}^m lambda _k , (D_k u (y))^2 right] ^{p/2} !! !!!! mu _m (textrm{d}y) le (c_p)^p !! int _{{{mathbb {R}}}^m} !! |f( y)|^p mu _m (textrm{d}y),;;; 1< p < infty end{aligned}$$</span></div></div><p>where <span>(mu _m)</span> is the “diagonal” Gaussian measure determined by <span>(lambda _1, ldots , lambda _m)</span> and <span>(c_p > 0)</span> is independent of <i>f</i> and <i>m</i>. This is a consequence of generalized Meyer’s inequalities [4]. We show that, if <span>(lambda _k sim k^2)</span>, then such estimate does not hold when <span>(p= infty )</span>. Indeed we prove </p><div><div><span>$$begin{aligned} sup _{begin{array}{c} f in C^{ 2}_b({{mathbb {R}}}^m),;;; Vert fVert _{infty } le 1 end{array}} left{ sum _{k=1}^m lambda _k , (D_k u^f (0))^2 right} rightarrow infty ;; text{ as } ; m rightarrow infty . end{aligned}$$</span></div></div><p>This is in contrast to the case of <span>(lambda _k = lambda >0)</span>, <span>(k ge 1)</span>, where a dimension-free bound holds for <span>(p =infty )</span>.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-023-01389-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136235394","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