Annali di Matematica Pura ed Applicata最新文献_第2页

Heights and transcendence of p-adic continued fractions p-adic 續分數的高度和超越性

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-07-02 DOI: 10.1007/s10231-024-01476-6

Ignazio Longhi, Nadir Murru, Francesco M. Saettone

引用次数: 0

A Hilbert–Mumford criterion for polystability for actions of real reductive Lie groups 实还原李群作用多稳性的希尔伯特-蒙福德准则

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-07-02 DOI: 10.1007/s10231-024-01480-w

Leonardo Biliotti, Oluwagbenga Joshua Windare

{"title":"A Hilbert–Mumford criterion for polystability for actions of real reductive Lie groups","authors":"Leonardo Biliotti, Oluwagbenga Joshua Windare","doi":"10.1007/s10231-024-01480-w","DOIUrl":"https://doi.org/10.1007/s10231-024-01480-w","url":null,"abstract":"We study a Hilbert–Mumford criterion for polystablility associated with an action of a real reductive Lie group G on a real submanifold X of a Kähler manifold Z. Suppose the action of a compact Lie group with Lie algebra (mathfrak {u}) extends holomorphically to an action of the complexified group (U^{mathbb {C}}) and that the U-action on Z is Hamiltonian. If (Gsubset U^{mathbb {C}}) is compatible, there is a corresponding gradient map (mu _mathfrak {p}: Xrightarrow mathfrak {p}), where (mathfrak {g}= mathfrak {k}oplus mathfrak {p}) is a Cartan decomposition of the Lie algebra of G. Under some mild restrictions on the G-action on X, we characterize which G-orbits in X intersect (mu _mathfrak {p}^{-1}(0)) in terms of the maximal weight functions, which we viewed as a collection of maps defined on the boundary at infinity ((partial _infty G/K)) of the symmetric space G/K. We also establish the Hilbert–Mumford criterion for polystability of the action of G on measures.","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141527514","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

Partial separability and symplectic-Haantjes manifolds 部分可分性和交映-Haantjes 流形

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-07-02 DOI: 10.1007/s10231-024-01462-y

Daniel Reyes, Piergiulio Tempesta, Giorgio Tondo

引用次数: 0

Quasilinear elliptic problem in anisotropic Orlicz–Sobolev space on unbounded domain 无界域上各向异性 Orlicz-Sobolev 空间中的准线性椭圆问题

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-06-29 DOI: 10.1007/s10231-024-01477-5

Karol Wroński

引用次数: 0

Non-radial ground state solutions for fractional Schrödinger–Poisson systems in $$mathbb {R}^{2}$$ 分数薛定谔-泊松系统在 $$mathbb {R}^{2}$ 中的非径向基态解

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-06-20 DOI: 10.1007/s10231-024-01470-y

Guofeng Che, Juntao Sun, Tsung-Fang Wu

{"title":"Non-radial ground state solutions for fractional Schrödinger–Poisson systems in $$mathbb {R}^{2}$$","authors":"Guofeng Che, Juntao Sun, Tsung-Fang Wu","doi":"10.1007/s10231-024-01470-y","DOIUrl":"https://doi.org/10.1007/s10231-024-01470-y","url":null,"abstract":"In this paper, we study the fractional Schrödinger–Poisson system with a general nonlinearity as follows: $$begin{aligned} left{ begin{array}{ll} (-Delta )^{s}u+u+ l(x)phi u=f(u) &{} text { in }mathbb {R}^{2}, (-Delta )^{t}phi =l(x)u^{2} &{} text { in }mathbb {R}^{2}, end{array} right. end{aligned}$$where (frac{1}{2}<tle s<1), the potential (lin C(mathbb {R}^{2},mathbb {R}^{+})) and (fin C(mathbb {R},mathbb {R})) does not require the classical (AR)-condition. When (l(x)equiv mu >0) is a parameter, by establishing new estimates for the fractional Laplacian, we find two positive solutions, depending on the range of (mu ). As a result, a positive ground state solution with negative energy exists for the non-autonomous system without any symmetry on l(x). When l(x) is radially symmetric, we show that the symmetry breaking phenomenon can occur, and that a non-radial ground state solution with negative energy exists. Furthermore, under additional assumptions on l(x), three positive solutions are found. The intrinsic differences between the planar SP system and the planar fSP system are analyzed.","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141500609","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

Carleman estimates for third order operators of KdV and non KdV-type and applications KdV 和非 KdV 型三阶算子的卡勒曼估计及其应用

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-06-04 DOI: 10.1007/s10231-024-01467-7

Serena Federico

引用次数: 0

Sufficient conditions yielding the Rayleigh Conjecture for the clamped plate 得出夹板雷利猜想的充分条件

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-11 DOI: 10.1007/s10231-024-01454-y

Roméo Leylekian

{"title":"Sufficient conditions yielding the Rayleigh Conjecture for the clamped plate","authors":"Roméo Leylekian","doi":"10.1007/s10231-024-01454-y","DOIUrl":"https://doi.org/10.1007/s10231-024-01454-y","url":null,"abstract":"The Rayleigh Conjecture for the bilaplacian consists in showing that the clamped plate with least principal eigenvalue is the ball. The conjecture has been shown to hold in 1995 by Nadirashvili in dimension 2 and by Ashbaugh and Benguria in dimension 3. Since then, the conjecture remains open in dimension (dge 4). In this paper, we contribute to answer this question, and show that the conjecture is true in any dimension as long as some special condition holds on the principal eigenfunction of an optimal shape. This condition regards the mean value of the eigenfunction, asking it to be in some sense minimal. This main result is based on an order reduction principle allowing to convert the initial fourth order linear problem into a second order affine problem, for which the classic machinery of shape optimization and elliptic theory is available. The order reduction principle turns out to be a general tool. In particular, it is used to derive another sufficient condition for the conjecture to hold, which is a second main result. This condition requires the Laplacian of the optimal eigenfunction to have constant normal derivative on the boundary. Besides our main two results, we detail shape derivation tools allowing to prove simplicity for the principal eigenvalue of an optimal shape and to derive optimality conditions. Finally, because our first result involves the principal eigenfunction of a ball, we are led to compute it explicitly.","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935500","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

On a quasilinear parabolic–hyperbolic system arising in MEMS modeling 关于 MEMS 建模中出现的准抛物线-超抛物线系统

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-11 DOI: 10.1007/s10231-024-01465-9

Christoph Walker

引用次数: 0

On the generalized Zalcman conjecture 关于广义扎尔克曼猜想

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-09 DOI: 10.1007/s10231-024-01461-z

Vasudevarao Allu, Abhishek Pandey

引用次数: 0

On a supercritical k-Hessian inequality of Trudinger–Moser type and extremal functions 论特鲁丁格-莫泽类型的超临界 k-黑森不等式和极值函数

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-07 DOI: 10.1007/s10231-024-01455-x

José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla

引用次数: 0