Annali di Matematica Pura ed Applicata最新文献_第7页

Ill-posedness for the periodic Camassa–Holm type equations in critical Besov spaces 临界Besov空间中周期Camassa-Holm型方程的病态性

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-21 DOI: 10.1007/s10231-025-01638-0

Jinlu Li, Yanghai Yu, Weipeng Zhu

引用次数: 0

Strong conciseness and equationally Noetherian groups 强简洁性和相等的诺瑟群

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-18 DOI: 10.1007/s10231-025-01622-8

Iker de las Heras, Andoni Zozaya

引用次数: 0

The regularity and products in contact geometry 接触几何的规律及其乘积

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-18 DOI: 10.1007/s10231-025-01631-7

Katarzyna Grabowska, Janusz Grabowski

引用次数: 0

Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces Morrey空间中具有数据的退化椭圆偏微分方程的更高Hölder正则性

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-15 DOI: 10.1007/s10231-025-01628-2

Giuseppe Di Fazio, Rafayel Teymurazyan, José Miguel Urbano

引用次数: 0

Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on (mathbb {R}^N) 上非齐次超临界椭圆方程正解的无穷多重性 (mathbb {R}^N)

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-13 DOI: 10.1007/s10231-025-01633-5

Sho Katayama, Yasuhito Miyamoto

{"title":"Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on (mathbb {R}^N)","authors":"Sho Katayama, Yasuhito Miyamoto","doi":"10.1007/s10231-025-01633-5","DOIUrl":"10.1007/s10231-025-01633-5","url":null,"abstract":"<div>\u0000 \u0000 We are concerned with positive radial solutions of the inhomogeneous elliptic equation (Delta u+K(|x|)u^p+mu f(|x|)=0) on (mathbb {R}^N), where (Nge 3), (muge 0) and K and f are nonnegative nontrivial functions. If (K(r)sim r^{alpha }), (alpha >-2), near (r=0), (K(r)sim r^{beta }), (beta >-2), near (r=infty ) and certain assumptions on f are imposed, then the problem has a unique positive radial singular solution for a certain range of (mu ). We show that existence of a positive radial singular solution is equivalent to existence of infinitely many positive bounded solutions which are not uniformly bounded, if p is between the critical Sobolev exponent (p_S(alpha )) and Joseph-Lundgren exponent (p_{JL}(alpha )). Using these theorems, we establish existence of infinitely many positive bounded solutions which are not uniformly bounded, for (p_S(alpha )<p<p_{JL}(alpha )) if (K(r)=r^{-alpha }), (alpha >-2).\u0000 </div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 3","pages":"1079 - 1121"},"PeriodicalIF":0.9,"publicationDate":"2025-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-025-01633-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148268631","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

On the Gauss map assignment for minimal surfaces and the Osserman curvature estimate 最小曲面的高斯映射分配和Osserman曲率估计

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-10 DOI: 10.1007/s10231-025-01629-1

Antonio Alarcón, Francisco J. López

{"title":"On the Gauss map assignment for minimal surfaces and the Osserman curvature estimate","authors":"Antonio Alarcón, Francisco J. López","doi":"10.1007/s10231-025-01629-1","DOIUrl":"10.1007/s10231-025-01629-1","url":null,"abstract":"<div>The Gauss map of a conformal minimal immersion of an open Riemann surface M into (mathbb {R}^n), (nge 3), is a holomorphic map (Mrightarrow textbf{Q}^{n-2}subset mathbb {C}mathbb {P}^{n-1}). Denote by (textrm{CMI}_{textrm{full}}(M,mathbb {R}^n)) and (mathscr {O}_{textrm{full}}(M,textbf{Q}^{n-2})) the spaces of full conformal minimal immersions (Mrightarrow mathbb {R}^n) and full holomorphic maps (Mrightarrow textbf{Q}^{n-2}), respectively, endowed with the compact-open topology. In this paper we show that the Gauss map assignment (mathscr {G}:textrm{CMI}_{textrm{full}}(M,mathbb {R}^n)rightarrow mathscr {O}_{textrm{full}}(M,textbf{Q}^{n-2})), taking a full conformal minimal immersion to its Gauss map, is an open map. This implies, in view of a result of Forstnerič and the authors, that (mathscr {G}) is a quotient map. The same results hold for the map ((mathscr {G},textrm{Flux}):textrm{CMI}_{textrm{full}}(M,mathbb {R}^n)rightarrow mathscr {O}_{textrm{full}}(M,textbf{Q}^{n-2})times H^1(M,mathbb {R}^n)), where (textrm{Flux}:textrm{CMI}_{textrm{full}}(M,mathbb {R}^n)rightarrow H^1(M,mathbb {R}^n)) is the flux assignment. As application, we establish that the set of maps (Gin mathscr {O}_{textrm{full}}(M,textbf{Q}^{n-2})) such that the family (mathscr {G}^{-1}(G)) of all minimal surfaces in (mathbb {R}^n) with the Gauss map G satisfies the classical Osserman curvature estimate, is meagre in the space of holomorphic maps (Mrightarrow textbf{Q}^{n-2}).</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"941 - 963"},"PeriodicalIF":0.9,"publicationDate":"2025-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828591","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

Energy minimizing harmonic almost complex structures 能量最小化调和几乎复杂的结构

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-08 DOI: 10.1007/s10231-025-01632-6

Weiyong He

{"title":"Energy minimizing harmonic almost complex structures","authors":"Weiyong He","doi":"10.1007/s10231-025-01632-6","DOIUrl":"10.1007/s10231-025-01632-6","url":null,"abstract":"<div>Consider all compatible almost complex structure with a fixed almost Hermitian metric (M, g) and we study energy-minimizing almost complex structures, with the energy functional (E(J)=int _M |nabla J|^2dv). C. Wood studied this problem in 1990 s and he named a critical point harmonic almost complex structure, satisfying the equation ([J, Delta J]=0). Since then there are considerate interest to study these objects but in general harmonic almost complex structures are not well understood. We introduce the notion of admissible almost complex structure as a natural generalization of smooth almost complex structure to (W^{1, 2}) setting. The main goal of the paper is to study the regularity of admissible energy-minimizing almost complex structures on a compact Riemannian (almost Hermitian) manifold (M, g) of even dimension (m=2n). Our starting point is to observe that a critical point satisfies the equation (Delta J-Jnabla Jnabla J=0). This is a semi-linear elliptic system of tensor-valued functions which resembles the elliptic system of harmonic maps (vector-valued functions) in many ways. We prove that, all major results for energy-minimizing harmonic maps hold in our setting, notably the seminal work of Schoen–Uhlenbeck and recent improvement of regularity by Cheeger–Naber. We use comparison almost complex structures as was done by Schoen–Uhlenbeck, and finding comparison almost complex structures which satisfies the constraints is a major technical difficulty. This is the main point that differs from the theory of harmonic maps. Our construction of comparison almost complex structures relies on a new input that given an arbitrary almost complex structure, we can construct a unique (canonical) almost complex structure which is compatible with a given metric.</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 3","pages":"1017 - 1078"},"PeriodicalIF":0.9,"publicationDate":"2025-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-025-01632-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148268633","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

Invariant (lambda )-translators in Lorentz-minkowski space 不变量(lambda ) -洛伦兹-闵可夫斯基空间中的翻译

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-11-03 DOI: 10.1007/s10231-025-01630-8

Antonio Bueno, Irene Ortiz

{"title":"Invariant (lambda )-translators in Lorentz-minkowski space","authors":"Antonio Bueno, Irene Ortiz","doi":"10.1007/s10231-025-01630-8","DOIUrl":"10.1007/s10231-025-01630-8","url":null,"abstract":"<div>Given (lambda in mathbb {R}) and ({textbf {v}}in mathbb {L}^3), a (lambda )-translator with velocity ({textbf {v}}) is an immersed surface in (mathbb {L}^3) whose mean curvature satisfies (H=langle N,{textbf {v}}rangle +lambda ), where N is a unit normal vector field. When (lambda =0), we fall into the class of translating solitons of the mean curvature flow. In this paper we study (lambda )-translators in (mathbb {L}^3) that are invariant under a 1-parameter group of translations and rotations. The former are cylindrical surfaces and explicit parametrizations are found, distinguishing on the causality of both the ruling direction and the (lambda )-translators. In the case of rotational (lambda )-translators we distinguish between spacelike and timelike rotations and exhibit the qualitative properties of rotational (lambda )-translators by analyzing the non-linear autonomous system fulfilled by the coordinate functions of the generating curves.</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"965 - 991"},"PeriodicalIF":0.9,"publicationDate":"2025-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-025-01630-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828592","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

Density of Noether–Lefschetz loci for surfaces in Fano and Calabi–Yau threefolds Fano和Calabi-Yau曲面的Noether-Lefschetz位点密度为三倍

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-10-29 DOI: 10.1007/s10231-025-01621-9

Edoardo Mason

引用次数: 0

A priori estimates for a class of complex Hessian equations on Hermitian manifolds 一类复Hessian方程在厄米流形上的先验估计

IF 0.9 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2025-10-21 DOI: 10.1007/s10231-025-01625-5

Pang Xu, Xin-An Ren

引用次数: 0