ANNALI DI MATEMATICA PURA ED APPLICATA纯粹与应用数学年刊
ANNALI DI MATEMATICA PURA ED APPLICATA(英文缩写 ANN MAT PUR APPL),ISSN 0373-3114,eISSN 1618-1891,中文译名:纯粹与应用数学年刊 是一本学术期刊。本页汇总该期刊的最新影响因子、分区信息以及最新收录于 PubMed 的文献,帮助您快速了解期刊全貌。
发文量统计区间：2025-10-01 至 2026-09-30，按本站收录文献的发表日期统计。
期刊介绍
历年影响因子趋势
| JCR 数据年份 | 影响因子 | JCR 分区 |
|---|---|---|
| 2021 | 0.986 | Q2 |
| 2022 | 1.000 | Q2 |
| 2023 | 1.000 | Q1 |
| 2024 | 0.900 | Q2 |
| 2025 | 0.900 | Q2 |
ANNALI DI MATEMATICA PURA ED APPLICATA 最新收录文献
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1. {"_":"The nonlinear porous medium equation for the -Laplacian: Hamilton-Souplet-Zhang type gradient estimates and implications.","i":["f"]}
PMID:日期:2025-11-24This article presents new gradient estimates for positive solutions to the nonlinear porous medium equation in the context of smooth metric measure spaces. The diffusion operator here is the -Laplacian and the gradient estimates of interest are mainly of Hamilton-Souplet-Zhang types. These estimates are established using a variety of methods and techniques and several implications, most notably, to parabolic Liouville-type results and characterisation of ancient solutions are given. The problem is posed in the general framework where the metric and potential evolve with time and the proofs make use of natural lower bounds on the time derivative of the metric and the Bakry-Émery -Ricci curvature tensors. Our results extend and improve various existing ones in the literature.
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2. On the instability of syzygy bundles on toric surfaces.
PMID:日期:2025-09-06We show that for every toric surface apart from and and every ample line bundle on there exists an ample polarisation for , such that the syzygy bundle associated to the tensor power is not stable with respect to for every sufficiently large.
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3. Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth.
PMID:日期:2025-01-24A partial regularity theorem is presented for minimisers of -order functionals subject to a quasiconvexity and general growth condition. We will assume a natural growth condition governed by an -function satisfying the and conditions, assuming no quantitative estimates on the second derivative of the integrand; this is new even in the case. These results will also be extended to the case of strong local minimisers.
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4. Counting function estimates for coherent frames and Riesz sequences.
PMID:日期:2024-12-15We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for general unimodular amenable groups, while providing more precise estimates under additional localization conditions on the coherent system for groups of polynomial growth.
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5. Higher integrability for singular doubly nonlinear systems.
PMID:日期:2024-04-09We prove a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems whose prototype is with parameters and and . In this paper, we are concerned with the ranges and . A key ingredient in the proof is an intrinsic geometry that takes both the solution and its spatial gradient into account.
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6. {"_":"Optimal and typical discrepancy of 2-dimensional lattices.","mml:math":[{"xmlns:mml":["http://www.w3.org/1998/Math/MathML"],"mml:msup":[{"mml:mi":["L"],"mml:mn":["2"]}]}]}
PMID:日期:2024-03-23We undertake a detailed study of the discrepancy of 2-dimensional Korobov lattices and their irrational analogues, either with or without symmetrization. We give a full characterization of such lattices with optimal discrepancy in terms of the continued fraction partial quotients, and compute the precise asymptotics whenever the continued fraction expansion is explicitly known, such as for quadratic irrationals or Euler's number . In the metric theory, we find the asymptotics of the discrepancy for almost every irrational, and the limit distribution for randomly chosen rational and irrational lattices.
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7. A comparison principle for doubly nonlinear parabolic partial differential equations.
PMID:日期:2023-09-22In this paper, we derive a comparison principle for non-negative weak sub- and super-solutions to doubly nonlinear parabolic partial differential equations whose prototype is with and and . Instead of requiring a lower bound for the sub- or super-solutions in the whole domain , we only assume the lateral boundary data to be strictly positive. The main results yield some applications. Firstly, we obtain uniqueness of non-negative weak solutions to the associated Cauchy-Dirichlet problem. Secondly, we prove that any weak solution is also a viscosity solution.
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8. Polyharmonic hypersurfaces into pseudo-Riemannian space forms.
PMID:日期:2022-09-16In this paper, we shall assume that the ambient manifold is a pseudo-Riemannian space form of dimension and index ( and ). We shall study hypersurfaces which are polyharmonic of order (briefly, -harmonic), where and either or . Let denote the shape operator of . Under the assumptions that is CMC and is a constant, we shall obtain the general condition which determines that is -harmonic. As a first application, we shall deduce the existence of several new families of proper -harmonic hypersurfaces with diagonalizable shape operator, and we shall also obtain some results in the direction that our examples are the only possible ones provided that certain assumptions on the principal curvatures hold. Next, we focus on the study of isoparametric hypersurfaces whose shape operator is non-diagonalizable and also in this context we shall prove the existence of some new examples of proper -harmonic hypersurfaces ( ). Finally, we shall obtain the complete classification of proper -harmonic isoparametric pseudo-Riemannian surfaces into a three-dimensional Lorentz space form.
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9. Discrete cyclic systems and circle congruences.
PMID:日期:2022-05-10We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal coordinate systems with one family of circular coordinate lines. In particular, the underlying circle congruences are investigated in detail and characterized by the existence of a certain flat connection. Within the developed framework, discrete cyclic systems with a family of discrete flat fronts in hyperbolic space and discrete cyclic systems, where all coordinate surfaces are discrete Dupin cyclides, are investigated.
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10. Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude.
PMID:日期:2022-04-28We derive and subsequently analyze an exact solution of the geophysical fluid dynamics equations which describes equatorial flows (in spherical coordinates) and has a discontinuous fluid stratification that varies with both depth and latitude. More precisely, this solution represents a steady, purely-azimuthal equatorial two-layer flow with an associated free-surface and a discontinuous distribution of the density which gives rise to an interface separating the two fluid regions. While the velocity field and the pressure are given by means of explicit formulas, the shape of the free surface and of the interface are given in implicit form: indeed we demonstrate that there is a well-defined relationship between the imposed pressure at the free-surface and the resulting distortion of the surface's shape. Moreover, imposing the continuity of the pressure along the interface generates an equation that describes (implicitly) the shape of the interface. We also provide a regularity result for the interface defining function under certain assumptions on the velocity field.