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

The characteristic group of locally conformally product structures 局部保角积结构的特征群

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-07-02 DOI: 10.1007/s10231-024-01479-3

Brice Flamencourt

引用次数: 0

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

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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

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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":"10.1007/s10231-024-01470-y","url":null,"abstract":"<div>In this paper, we study the fractional Schrödinger–Poisson system with a general nonlinearity as follows: <div><div>$$begin{aligned} left{ begin{array}{ll} (-Delta )^{s}u+u+ l(x)phi u=f(u) &{} text { in }mathbb {R}^{2}, (-Delta )^{t}phi =l(x)u^{2} &{} text { in }mathbb {R}^{2}, end{array} right. end{aligned}$$</div></div>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.</div>","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

Stratified ocean gyres with Stuart-type vortices 带有斯图尔特型漩涡的分层海洋涡旋

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-06-05 DOI: 10.1007/s10231-024-01469-5

Qixing Ding, Luigi Roberti

引用次数: 0

The Gehring–Hayman type theorem on pseudoconvex domains of finite type in (mathbb {C}^2) 关于 $$mathbb {C}^2$ 中有限类型伪凸域的 Gehring-Hayman 型定理

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-06-05 DOI: 10.1007/s10231-024-01466-8

Haichou Li, Xingsi Pu, Hongyu Wang

引用次数: 0

Extensions of extremal Kähler submanifolds of complex projective spaces 复杂投影空间的极值凯勒子满域的扩展

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-06-04 DOI: 10.1007/s10231-024-01468-6

Chao Li

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