Mathematische Annalen最新文献_第2页

Polynomial Fourier decay for fractal measures and their pushforwards. 分形测度的多项式傅里叶衰减及其推进。

IF 1.3 2区数学

Mathematische Annalen Pub Date : 2025-01-01 Epub Date: 2025-01-28 DOI: 10.1007/s00208-025-03091-z

Simon Baker, Amlan Banaji

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引用次数: 0

Quantitative approximate definable choices. 定量近似可定义的选择。

IF 1.3 2区数学

Mathematische Annalen Pub Date : 2025-01-01 Epub Date: 2025-03-09 DOI: 10.1007/s00208-025-03128-3

Antonio Lerario, Luca Rizzi, Daniele Tiberio

引用次数: 0

On the smooth locus of affine Schubert varieties. 仿射舒伯特变种的光滑轨迹。

IF 1.3 2区数学

Mathematische Annalen Pub Date : 2025-01-01 Epub Date: 2025-03-12 DOI: 10.1007/s00208-025-03123-8

Georgios Pappas, Rong Zhou

引用次数: 0

Coarsely holomorphic curves and symplectic topology 粗全形曲线与交映拓扑学

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-09-19 DOI: 10.1007/s00208-024-02985-8

Spencer Cattalani

引用次数: 0

Multifractality and intermittency in the limit evolution of polygonal vortex filaments 多边形涡旋丝极限演化中的多分形和间歇性

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-09-17 DOI: 10.1007/s00208-024-02971-0

Valeria Banica, Daniel Eceizabarrena, Andrea R. Nahmod, Luis Vega

引用次数: 0

On the uniqueness of periodic solutions for a Rayleigh–Liénard system with impulses 论带脉冲的 Rayleigh-Liénard 系统周期解的唯一性

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-09-17 DOI: 10.1007/s00208-024-02996-5

Hebai Chen, Jie Jin, Zhaoxia Wang, Dongmei Xiao

引用次数: 0

Uniformly super McDuff $$hbox {II}_1$$ factors 统一超麦克杜夫 $$hbox {II}_1$$ 因子

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-09-12 DOI: 10.1007/s00208-024-02959-w

Isaac Goldbring, David Jekel, Srivatsav Kunnawalkam Elayavalli, Jennifer Pi

引用次数: 0

Normalized solutions for Kirchhoff equations with Sobolev critical exponent and mixed nonlinearities 具有索波列夫临界指数和混合非线性的基尔霍夫方程的归一化解

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-09-12 DOI: 10.1007/s00208-024-02982-x

Sitong Chen, Xianhua Tang

{"title":"Normalized solutions for Kirchhoff equations with Sobolev critical exponent and mixed nonlinearities","authors":"Sitong Chen, Xianhua Tang","doi":"10.1007/s00208-024-02982-x","DOIUrl":"https://doi.org/10.1007/s00208-024-02982-x","url":null,"abstract":"This paper focuses on the existence of normalized solutions for the following Kirchhoff equation: $$begin{aligned} left{ begin{array}{ll} -left( a+bint _{{mathbb {R}}^3}|nabla u|^2textrm{d}xright) Delta u+lambda u=u^5+mu |u|^{q-2}u, & xin {mathbb {R}}^3, int _{{mathbb {R}}^3}u^2textrm{d}x=c, end{array} right. end{aligned}$$where (a,b,c>0), (mu in {mathbb {R}}) and (2<q<6), (lambda in {mathbb {R}}) will arise as a Lagrange multiplier that is not a priori given. By using new analytical techniques, the paper establishes several existence results for the case (mu >0): <ol>\u0000<li>\u0000(1)\u0000The existence of two solutions, one being a local minimizer and the other of mountain-pass type, under explicit conditions on c when (2<q<frac{10}{3}).\u0000</li>\u0000<li>\u0000(2)\u0000The existence of a mountain-pass type solution under explicit conditions on c when (frac{10}{3}le q<frac{14}{3}).\u0000</li>\u0000<li>\u0000(3)\u0000The existence of a ground state solution for all (c>0) when (frac{14}{3}le q<6).\u0000</li>\u0000</ol> Furthermore, the paper presents the first non-existence result for the case (mu le 0) and (2<q<6). In particular, refined estimates of energy levels are proposed, suggesting a new threshold of compactness in the (L^2)-constraint. This study addresses an open problem for (2<q<frac{10}{3}) and fills a gap in the case (frac{10}{3}le q<frac{14}{3}). We believe that our approach can be applied to a broader range of nonlinear terms with Sobolev critical growth, and the underlying ideas have potential for future development and applicability.","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":"158 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Gaussian estimates vs. elliptic regularity on open sets 开放集上的高斯估计与椭圆正则性

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-09-10 DOI: 10.1007/s00208-024-02939-0

Tim Böhnlein, Simone Ciani, Moritz Egert

引用次数: 0

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to $$D^{1,p}$$ -critical quasi-linear static Schrödinger–Hartree equation involving p-Laplacian $$-Delta _{p}$$ 涉及 p-Laplacian $$-Delta _{p}$$ 的 $$D^{1,p}$ 临界准线性静态薛定谔-哈特里方程的非负解的径向对称性和尖锐渐近行为

IF 1.4 2区数学

Mathematische Annalen Pub Date : 2024-09-09 DOI: 10.1007/s00208-024-02986-7

Wei Dai, Yafei Li, Zhao Liu

{"title":"Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to $$D^{1,p}$$ -critical quasi-linear static Schrödinger–Hartree equation involving p-Laplacian $$-Delta _{p}$$","authors":"Wei Dai, Yafei Li, Zhao Liu","doi":"10.1007/s00208-024-02986-7","DOIUrl":"https://doi.org/10.1007/s00208-024-02986-7","url":null,"abstract":"In this paper, we mainly consider nonnegative weak solution to the (D^{1,p}(mathbb {R}^{N}))-critical quasi-linear static Schrödinger–Hartree equation with p-Laplacian (-Delta _{p}) and nonlocal nonlinearity: $$begin{aligned} -Delta _p u =left( |x|^{-2p}*|u|^{p}right) |u|^{p-2}u qquad&text{ in } ,, mathbb {R}^N, end{aligned}$$where (1<p<frac{N}{2}), (Nge 3) and (uin D^{1,p}(mathbb {R}^N)). First, we establish regularity and the sharp estimates on asymptotic behaviors for any positive solution u (and (|nabla u|)) to more general equation (-Delta _p u=V(x)u^{p-1}) with (Vin L^{frac{N}{p}}(mathbb {R}^{N})). Then, as a consequence, we can apply the method of moving planes to prove that all the nontrivial nonnegative solutions are radially symmetric and strictly decreasing about some point (x_0in mathbb {R}^N). The radial symmetry and sharp asymptotic estimates for more general nonlocal quasi-linear equations were also included.","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":"5 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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