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Annali di Matematica Pura ed Applicata最新文献

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New log-weighted adams-type inequalities on (mathbb {R}^N) and related quasilinear nonhomogeneous equations (mathbb {R}^N)上新的对数加权adams型不等式及相关拟线性非齐次方程
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-21 DOI: 10.1007/s10231-025-01624-6
Rahma Jlel
{"title":"New log-weighted adams-type inequalities on (mathbb {R}^N) and related quasilinear nonhomogeneous equations","authors":"Rahma Jlel","doi":"10.1007/s10231-025-01624-6","DOIUrl":"10.1007/s10231-025-01624-6","url":null,"abstract":"<div><p>In this paper, we establish new functional inequalities of Adams type with a logarithmic weight, involving unbounded or decaying radial weights in second-order Sobolev spaces. These inequalities are novel and clearly highlight the importance of such weights. As an application of these inequalities, we study in the last part of this work some quasilinear equations involving exponential critical growth.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"775 - 822"},"PeriodicalIF":0.9,"publicationDate":"2025-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828598","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
Logistic diffusion equations governed by the superposition of operators of mixed fractional order 混合分数阶算子叠加控制的Logistic扩散方程
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-18 DOI: 10.1007/s10231-025-01613-9
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli, Enrico Valdinoci
{"title":"Logistic diffusion equations governed by the superposition of operators of mixed fractional order","authors":"Serena Dipierro,&nbsp;Edoardo Proietti Lippi,&nbsp;Caterina Sportelli,&nbsp;Enrico Valdinoci","doi":"10.1007/s10231-025-01613-9","DOIUrl":"10.1007/s10231-025-01613-9","url":null,"abstract":"<div><p>We discuss the existence of stationary solutions for logistic diffusion equations of Fisher–Kolmogoroff–Petrovski–Piskunov type driven by the superposition of fractional operators in a bounded region with “hostile” environmental conditions, modeled by homogeneous external Dirichlet data. We provide a range of results on the existence and nonexistence of solutions tied to the spectral properties of the ambient space, corresponding to either survival or extinction of the population. We also discuss how the possible presence of nonlocal phenomena of concentration and diffusion affect the endurance or disappearance of the population. In particular, we give examples in which both classical and anomalous diffusion lead to the extinction of the species, while the presence of an arbitrarily small concentration pattern enables survival.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"539 - 589"},"PeriodicalIF":0.9,"publicationDate":"2025-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-025-01613-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828596","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
The reciprocal complement of a curve 曲线的倒数补
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-16 DOI: 10.1007/s10231-025-01617-5
Dario Spirito
{"title":"The reciprocal complement of a curve","authors":"Dario Spirito","doi":"10.1007/s10231-025-01617-5","DOIUrl":"10.1007/s10231-025-01617-5","url":null,"abstract":"<div>\u0000 \u0000 <p>We give a geometric interpretation of the reciprocal complement of an integral domain <i>D</i> in the case <i>D</i> is a one-dimensional finitely generated algebra over an algebraically closed field.</p>\u0000 </div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"683 - 688"},"PeriodicalIF":0.9,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-025-01617-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828546","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
Critical p-Laplacian problems with a Hardy potential in a non-contractible domain 不可缩域上具有Hardy势的临界p-拉普拉斯问题
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-16 DOI: 10.1007/s10231-025-01623-7
Diem Hang T. Le, Phuong Le
{"title":"Critical p-Laplacian problems with a Hardy potential in a non-contractible domain","authors":"Diem Hang T. Le,&nbsp;Phuong Le","doi":"10.1007/s10231-025-01623-7","DOIUrl":"10.1007/s10231-025-01623-7","url":null,"abstract":"<div><p>We study the doubly critical quasilinear problem </p><div><div><span>$$ -Delta _p u - frac{lambda }{|x|^p}|u|^{p-2}u = |u|^{p^*-2}u $$</span></div></div><p>in a bounded non-contractible domain <span>(Omega subset mathbb {R}^N)</span> containing the origin with zero Dirichlet boundary condition, where <span>(1&lt;p&lt;N)</span>, <span>(0&lt;lambda &lt;left( frac{N-p}{p}right) ^p)</span> and <span>(p^*)</span> is the critical Sobolev exponent. We show that the equation admits at least <span>(textrm{cat}(Omega ) - 1)</span> positive solutions provided that <span>(lambda )</span> is small enough, where <span>(textrm{cat}(Omega ))</span> denotes the Lusternik–Schnirelmann category of <span>(Omega )</span> in itself. Our result is new even in the case <span>(p=2)</span>, <span>(N=3)</span>.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"759 - 774"},"PeriodicalIF":0.9,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828553","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
Compact geodesic orbit manifolds with regular stabilizer 带规则稳定器的紧凑测地线轨道流形
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-15 DOI: 10.1007/s10231-025-01618-4
Nikolaos Panagiotis Souris
{"title":"Compact geodesic orbit manifolds with regular stabilizer","authors":"Nikolaos Panagiotis Souris","doi":"10.1007/s10231-025-01618-4","DOIUrl":"10.1007/s10231-025-01618-4","url":null,"abstract":"<div>\u0000 \u0000 <p>We study geodesic orbit Riemannian manifolds, namely manifolds where all geodesics are orbits of one - parameter groups of isometries. Any connected such manifold is homogeneous, while the structure and existence of geodesic orbit metrics on a homogeneous space <i>G</i>/<i>H</i> largely depends on the embedding of the stabilizer subgroup <i>H</i> in <i>G</i>. In this article, we study and characterize the geodesic orbit metrics in the extensive class of spaces <i>G</i>/<i>H</i> with <i>G</i> compact and <i>H</i> a semisimple regular subgroup of <i>G</i> (in the sense that the Lie algebra of <i>H</i> is normalized by a Cartan subalgebra of the Lie algebra of <i>G</i>). This work is a contribution to the ongoing study of compact geodesic orbit manifolds, focusing on those with semisimple stabilizer.</p>\u0000 </div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"689 - 702"},"PeriodicalIF":0.9,"publicationDate":"2025-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828551","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 compact sets possessing q-convex functions 在具有q-凸函数的紧集上
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-14 DOI: 10.1007/s10231-025-01619-3
Thomas Pawlaschyk, Nikolay Shcherbina
{"title":"On compact sets possessing q-convex functions","authors":"Thomas Pawlaschyk,&nbsp;Nikolay Shcherbina","doi":"10.1007/s10231-025-01619-3","DOIUrl":"10.1007/s10231-025-01619-3","url":null,"abstract":"<div><p>We show that there exists a <i>q</i>-convex function in a neighborhood of a compact set <i>K</i> in a complex manifold <span>(mathcal {M})</span> if and only if the <i>q</i>-nucleus of this compact set is empty. The latter can be characterized as the maximal <i>q</i>-pseudoconcave subset of <i>K</i>, i.e., a subset of <i>K</i> containing all other compact <i>q</i>-pseudoconcave subsets in <i>K</i>.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"703 - 718"},"PeriodicalIF":0.9,"publicationDate":"2025-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-025-01619-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828590","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
Holonomy of K-contact sub-Riemannian manifolds k -接触子黎曼流形的完整性
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-13 DOI: 10.1007/s10231-025-01612-w
Anton S. Galaev
{"title":"Holonomy of K-contact sub-Riemannian manifolds","authors":"Anton S. Galaev","doi":"10.1007/s10231-025-01612-w","DOIUrl":"10.1007/s10231-025-01612-w","url":null,"abstract":"<div><p>It is shown that the horizontal holonomy group of a K-contact sub-Riemannian manifold either coincides with the holonomy group of a Riemannian manifold, or it is a codimension-one normal subgroup of the later group. This implies the classification of the holonomy algebras of K-contact sub-Riemannian manifolds. The question of existence of parallel horizontal spinors, examples, and consequences are discussed.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"515 - 537"},"PeriodicalIF":0.9,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828550","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
Existence of solutions for singular not coercive nonlinear elliptic equations 奇异非强制非线性椭圆方程解的存在性
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-08 DOI: 10.1007/s10231-025-01620-w
Lucio Boccardo, Luigi Orsina
{"title":"Existence of solutions for singular not coercive nonlinear elliptic equations","authors":"Lucio Boccardo,&nbsp;Luigi Orsina","doi":"10.1007/s10231-025-01620-w","DOIUrl":"10.1007/s10231-025-01620-w","url":null,"abstract":"<div><p>We prove existence of positive solutions <i>u</i> in <span>(W_0^{1,p}(Omega ))</span> of the following singular and not coercive nonlinear problem: </p><div><div><span>$$ left{ begin{array}{cl} -textrm{div}Big ( frac{Phi (x,nabla u)}{u^{theta ,(p-1)}} Big ) = f(x) &amp; hbox {in }Omega , u &gt; 0 &amp; hbox {in }Omega , u = 0 &amp; hbox {on }partial Omega . end{array} right. $$</span></div></div></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 2","pages":"719 - 737"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147828458","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
Monotone solutions for a nonlinear model describing stratified arctic gyres 描述分层北极环流的非线性模型的单调解
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-08 DOI: 10.1007/s10231-025-01609-5
Jin Zhao, Sulei Wang, Xun Wang
{"title":"Monotone solutions for a nonlinear model describing stratified arctic gyres","authors":"Jin Zhao,&nbsp;Sulei Wang,&nbsp;Xun Wang","doi":"10.1007/s10231-025-01609-5","DOIUrl":"10.1007/s10231-025-01609-5","url":null,"abstract":"<div><p>In this paper, we investigate the existence of monotone bounded solutions for a nonlinear model arising from stratified arctic gyres, based on some functional analysis techniques. Moreover, we use the Osgood condition to prove the uniqueness of such the bounded solution.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 1","pages":"409 - 424"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579221","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
CMC foliations and their conformal aspects CMC片理及其保角面
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-10-03 DOI: 10.1007/s10231-025-01611-x
A. Rod Gover, Valentina-Mira Wheeler
{"title":"CMC foliations and their conformal aspects","authors":"A. Rod Gover,&nbsp;Valentina-Mira Wheeler","doi":"10.1007/s10231-025-01611-x","DOIUrl":"10.1007/s10231-025-01611-x","url":null,"abstract":"<div><p>On a manifold we term a hypersurface foliation a slicing if it is the level set foliation of a slice function—meaning some real valued function <i>f</i> satisfying that <i>df</i> is nowhere zero. On Riemannian manifolds we give a non-linear PDE on functions whose solutions are generic constant-mean-curvature (CMC) slice functions. Conversely, to any generic transversely-oriented constant-mean-curvature foliation the equation uniquely associates such a function. In one sense the equation is a scalar analogue of the Einstein equations. Given any slicing we show that, locally, one can conformally prescribe any smooth mean curvature function. We use this to show that, locally on a Riemannian manifold, a slicing is CMC for a conformally related metric. These results admit global versions assuming certain restrictions. Finally, given a conformally compact manifold we study the problem of normalising the defining function so that it is a CMC slice function for a compactifying metric. We show that two cases of this problem are formally solvable to all orders.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"205 1","pages":"483 - 513"},"PeriodicalIF":0.9,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-025-01611-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579585","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
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