Annali di Matematica Pura ed Applicata最新文献

Moduli spaces of flat Riemannian metrics on 4-dimensional closed manifolds 四维闭流形上平坦黎曼度量的模空间

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-02-26 DOI: 10.1007/s10231-024-01514-3

Karla García, Oscar Palmas

引用次数: 0

Non-radial positive and sign-changing solutions for the FitzHugh–Nagumo system in (mathbb {R}^N) 中FitzHugh-Nagumo系统的非径向正解和变号解 (mathbb {R}^N)

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-02-25 DOI: 10.1007/s10231-025-01548-1

Weihong Xie, Mingzhu Yu

{"title":"Non-radial positive and sign-changing solutions for the FitzHugh–Nagumo system in (mathbb {R}^N)","authors":"Weihong Xie, Mingzhu Yu","doi":"10.1007/s10231-025-01548-1","DOIUrl":"10.1007/s10231-025-01548-1","url":null,"abstract":"<div>In this article we present the existence of infinitely many non-radial positive or sign-changing solutions for the following FitzHugh–Nagumosystem: <div><div>$$begin{aligned} left{ begin{array}{ll} Delta u-a(|x|)u+g(u)-delta v=0, quad & xin mathbb {R}^N, Delta v+u=0, & xin mathbb {R}^N, u(x), ~v(x)rightarrow 0, & text{ as }~ |x|rightarrow +infty , end{array}right. end{aligned}$$</div></div>where (Nge 5), (delta >0), (g(u)=(a_0+1)u^2-u^3), (0<a_0<frac{1}{2}) and (a(|x|)in (0,frac{1}{2})) satisfies some decay conditions at the infinity. More precisely, for any positive integer k large, there is a (delta _k>0) such that for (0<delta <delta _k), there exists positive solutions with 2k peaks, which are respectively concentrated at the vertices of a regular k-polygon on two circles in 3-dimensional space with the radium (rsim k ln k) and the height (hsim frac{1}{k}). In addition, the sign-changing solutions with 2k peaks are evenly distributed on the equatorial (textrm{T}={xin mathbb {R}^2:x_1^2+x_2^2=r^2}) in the ((x_1, x_2))-plane. As a by-product, we give the similar results of Schödinger-Poisson in (mathbb {R}^N) for (Nge 3).</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1795 - 1826"},"PeriodicalIF":0.9,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169806","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

Computations of λ-classes via strata of differentials 通过微分层计算λ类

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-02-03 DOI: 10.1007/s10231-024-01532-1

Georgios Politopoulos, Adrien Sauvaget

引用次数: 0

Approximate two-sphere one-cylinder inequality in parabolic periodic homogenization with suitable lower-order terms 用合适的低阶项逼近抛物周期均匀化中的两球一柱不等式

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-28 DOI: 10.1007/s10231-025-01544-5

Yiping Zhang

引用次数: 0

Antisymmetric maximum principles and Hopf’s lemmas for the Logarithmic Laplacian, with applications to symmetry results 对数拉普拉斯函数的反对称极大值原理和Hopf引理，及其在对称结果中的应用

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-27 DOI: 10.1007/s10231-025-01549-0

Luigi Pollastro, Nicola Soave

引用次数: 0

Hölder and Harnack estimates for integro-differential operators with kernels of measure Hölder和测度核的积分-微分算子的harack估计

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-24 DOI: 10.1007/s10231-025-01546-3

Jingya Chen

引用次数: 0

Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth 具有自然Orlicz增长的高阶拟凸积分的极小值的部分正则性。

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-24 DOI: 10.1007/s10231-025-01547-2

Christopher Irving

引用次数: 0

On vanishing diffusivity selection for the advection equation 关于平流方程的消失扩散系数选择

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-21 DOI: 10.1007/s10231-025-01543-6

Giulia Mescolini, Jules Pitcho, Massimo Sorella

引用次数: 0

Asymptotics of weighted Gagliardo seminorms 加权Gagliardo半精的渐近性

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-21 DOI: 10.1007/s10231-025-01545-4

Michał Kijaczko

引用次数: 0

Odd generalized Einstein metrics on Lie groups 李群上的奇广义爱因斯坦度量

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-12 DOI: 10.1007/s10231-024-01540-1

Vicente Cortés, Liana David

{"title":"Odd generalized Einstein metrics on Lie groups","authors":"Vicente Cortés, Liana David","doi":"10.1007/s10231-024-01540-1","DOIUrl":"10.1007/s10231-024-01540-1","url":null,"abstract":"<div>An odd generalized metric (E_{-}) on a Lie group G of dimension n is a left-invariant generalized metric on a Courant algebroid (E_{H, F}) of type (B_{n}) over G with left-invariant twisting forms (Hin Omega ^{3}(G)) and (Fin Omega ^{2}(G)). Given an odd generalized metric (E_{-}) on G we determine the affine space of left-invariant Levi-Civita generalized connections of (E_{-}). Given in addition a left-invariant divergence operator (delta ) we show that there is a left-invariant Levi-Civita generalized connection of (E_{-}) with divergence (delta ) and we compute the corresponding Ricci tensor (textrm{Ric}^{delta }) of the pair ((E_{-}, delta )). The odd generalized metric (E_{-}) is called odd generalized Einstein with divergence (delta ) if (textrm{Ric}^{delta }=0). As an application of our theory, we describe all odd generalized Einstein metrics of arbitrary left-invariant divergence on all 3-dimensional unimodular Lie groups.</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1603 - 1632"},"PeriodicalIF":0.9,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01540-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164428","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