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Annali di Matematica Pura ed Applicata最新文献

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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
{"title":"Carleman estimates for third order operators of KdV and non KdV-type and applications","authors":"Serena Federico","doi":"10.1007/s10231-024-01467-7","DOIUrl":"10.1007/s10231-024-01467-7","url":null,"abstract":"<div><p>In this paper we study a class of variable coefficient third order partial differential operators on <span>({mathbb {R}}^{n+1})</span>, containing, as a subclass, some variable coefficient operators of KdV-type in any space dimension. For such a class, as well as for the adjoint class, we obtain a Carleman estimate and the local solvability at any point of <span>({mathbb {R}}^{n+1})</span>. A discussion of possible applications in the context of dispersive equations is provided.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2801 - 2823"},"PeriodicalIF":1.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01467-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141258080","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
Bridgeland stability conditions on normal surfaces 正常表面的布里奇兰稳定性条件
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-20 DOI: 10.1007/s10231-024-01460-0
Adrian Langer
{"title":"Bridgeland stability conditions on normal surfaces","authors":"Adrian Langer","doi":"10.1007/s10231-024-01460-0","DOIUrl":"10.1007/s10231-024-01460-0","url":null,"abstract":"<div><p>We prove a new version of Bogomolov’s inequality on normal proper surfaces. This allows to construct Bridgeland’s stability condition on such surfaces. In particular, this gives the first known examples of stability conditions on non-projective, proper schemes.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2653 - 2664"},"PeriodicalIF":1.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01460-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452871","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
Existence for doubly nonlinear fractional p-Laplacian equations 双非线性分数 p-Laplacian 方程的存在性
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-13 DOI: 10.1007/s10231-024-01453-z
Nobuyuki Kato, Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura
{"title":"Existence for doubly nonlinear fractional p-Laplacian equations","authors":"Nobuyuki Kato,&nbsp;Masashi Misawa,&nbsp;Kenta Nakamura,&nbsp;Yoshihiko Yamaura","doi":"10.1007/s10231-024-01453-z","DOIUrl":"10.1007/s10231-024-01453-z","url":null,"abstract":"<div><p>We prove the existence of a global-in-time weak solution to a doubly nonlinear parabolic fractional <i>p</i>-Laplacian equation, which has general double nonlinearity including not only the Sobolev subcritical/critical/supercritical cases but also the slow/homogenous/fast diffusion ones. Our proof exploits the weak convergence method for the doubly nonlinear fractional <i>p</i>-Laplace operator.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2481 - 2527"},"PeriodicalIF":1.0,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452937","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
Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands 具有等效各向同性和的紧凑同质空间上的等效向量
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-13 DOI: 10.1007/s10231-024-01464-w
Brian Grajales, Lino Grama
{"title":"Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands","authors":"Brian Grajales,&nbsp;Lino Grama","doi":"10.1007/s10231-024-01464-w","DOIUrl":"10.1007/s10231-024-01464-w","url":null,"abstract":"<div><p>In this paper, we investigate equigeodesics on a compact homogeneous space <span>(M=G/H.)</span> We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of <i>M</i> and the Lie structure of the Lie algebra of <i>G</i>. Applications to <i>M</i>-spaces are also discussed.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2741 - 2768"},"PeriodicalIF":1.0,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01464-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452938","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
Sufficient conditions yielding the Rayleigh Conjecture for the clamped plate 得出夹板雷利猜想的充分条件
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-11 DOI: 10.1007/s10231-024-01454-y
Roméo Leylekian
{"title":"Sufficient conditions yielding the Rayleigh Conjecture for the clamped plate","authors":"Roméo Leylekian","doi":"10.1007/s10231-024-01454-y","DOIUrl":"10.1007/s10231-024-01454-y","url":null,"abstract":"<div><p>The Rayleigh Conjecture for the bilaplacian consists in showing that the clamped plate with least principal eigenvalue is the ball. The conjecture has been shown to hold in 1995 by Nadirashvili in dimension 2 and by Ashbaugh and Benguria in dimension 3. Since then, the conjecture remains open in dimension <span>(dge 4)</span>. In this paper, we contribute to answer this question, and show that the conjecture is true in any dimension as long as some special condition holds on the principal eigenfunction of an optimal shape. This condition regards the mean value of the eigenfunction, asking it to be in some sense minimal. This main result is based on an order reduction principle allowing to convert the initial fourth order linear problem into a second order affine problem, for which the classic machinery of shape optimization and elliptic theory is available. The order reduction principle turns out to be a general tool. In particular, it is used to derive another sufficient condition for the conjecture to hold, which is a second main result. This condition requires the Laplacian of the optimal eigenfunction to have constant normal derivative on the boundary. Besides our main two results, we detail shape derivation tools allowing to prove simplicity for the principal eigenvalue of an optimal shape and to derive optimality conditions. Finally, because our first result involves the principal eigenfunction of a ball, we are led to compute it explicitly.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2529 - 2547"},"PeriodicalIF":1.0,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935500","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 a quasilinear parabolic–hyperbolic system arising in MEMS modeling 关于 MEMS 建模中出现的准抛物线-超抛物线系统
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-11 DOI: 10.1007/s10231-024-01465-9
Christoph Walker
{"title":"On a quasilinear parabolic–hyperbolic system arising in MEMS modeling","authors":"Christoph Walker","doi":"10.1007/s10231-024-01465-9","DOIUrl":"10.1007/s10231-024-01465-9","url":null,"abstract":"<div><p>A coupled system consisting of a quasilinear parabolic equation and a semilinear hyperbolic equation is considered. The problem arises as a small aspect ratio limit in the modeling of a MEMS device taking into account the gap width of the device and the gas pressure. The system is regarded as a special case of a more general setting for which local well-posedness of strong solutions is shown. The general result applies to different cases including a coupling of the parabolic equation to a semilinear wave equation of either second or fourth order, the latter featuring either clamped or pinned boundary conditions.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2769 - 2783"},"PeriodicalIF":1.0,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01465-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935505","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 generalized Zalcman conjecture 关于广义扎尔克曼猜想
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-09 DOI: 10.1007/s10231-024-01461-z
Vasudevarao Allu, Abhishek Pandey
{"title":"On the generalized Zalcman conjecture","authors":"Vasudevarao Allu,&nbsp;Abhishek Pandey","doi":"10.1007/s10231-024-01461-z","DOIUrl":"10.1007/s10231-024-01461-z","url":null,"abstract":"<div><p>Let <span>(mathcal {S})</span> denote the class of analytic and univalent (i.e., one-to-one) functions <span>( f(z)= z+sum _{n=2}^{infty }a_n z^n)</span> in the unit disk <span>(mathbb {D}={zin mathbb {C}:|z|&lt;1})</span>. For <span>(fin mathcal {S})</span>, In 1999, Ma proposed the generalized Zalcman conjecture that </p><div><div><span>$$begin{aligned}|a_{n}a_{m}-a_{n+m-1}|le (n-1)(m-1),,,, text{ for } nge 2,, mge 2,end{aligned}$$</span></div></div><p>with equality only for the Koebe function <span>(k(z) = z/(1 - z)^2)</span> and its rotations. In the same paper, Ma (J Math Anal Appl 234:328–339, 1999) asked for what positive real values of <span>(lambda )</span> does the following inequality hold? </p><div><div><span>$$begin{aligned} |lambda a_na_m-a_{n+m-1}|le lambda nm -n-m+1 ,,,,, (nge 2, ,mge 3). end{aligned}$$</span></div><div>\u0000 (0.1)\u0000 </div></div><p>Clearly equality holds for the Koebe function <span>(k(z) = z/(1 - z)^2)</span> and its rotations. In this paper, we prove the inequality (0.1) for <span>(lambda =3, n=2, m=3)</span>. Further, we provide a geometric condition on extremal function maximizing (0.1) for <span>(lambda =2,n=2, m=3)</span>.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2665 - 2675"},"PeriodicalIF":1.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935496","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 a supercritical k-Hessian inequality of Trudinger–Moser type and extremal functions 论特鲁丁格-莫泽类型的超临界 k-黑森不等式和极值函数
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-07 DOI: 10.1007/s10231-024-01455-x
José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla
{"title":"On a supercritical k-Hessian inequality of Trudinger–Moser type and extremal functions","authors":"José Francisco de Oliveira,&nbsp;João Marcos do Ó,&nbsp;Pedro Ubilla","doi":"10.1007/s10231-024-01455-x","DOIUrl":"10.1007/s10231-024-01455-x","url":null,"abstract":"<div><p>We establish a supercritical Trudinger–Moser type inequality for the <i>k</i>-Hessian operator on the space of the <i>k</i>-admissible radially symmetric functions <span>(Phi ^{k}_{0,textrm{rad}}(B))</span>, where <i>B</i> is the unit ball in <span>({mathbb {R}}^{N})</span>. We also prove the existence of extremal functions for this new supercritical inequality.\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2549 - 2575"},"PeriodicalIF":1.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01455-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881519","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
A Jordan–Hölder type theorem for finite groups 有限群的乔丹-荷尔德类型定理
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-06 DOI: 10.1007/s10231-024-01456-w
Francesca Lisi
{"title":"A Jordan–Hölder type theorem for finite groups","authors":"Francesca Lisi","doi":"10.1007/s10231-024-01456-w","DOIUrl":"10.1007/s10231-024-01456-w","url":null,"abstract":"<div><p>We introduce the notion of <span>(mathbb {P})</span>-subnormal subgroup in a finite group, which generalizes the one of subnormal subgroup. We prove an analogous of the well-known Jordan–Hölder Theorem for these subgroups and their related chains of subgroups.\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2577 - 2590"},"PeriodicalIF":1.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881516","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
Foliated structure of weak nearly Sasakian manifolds 弱近萨萨基流形的叶状结构
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-03 DOI: 10.1007/s10231-024-01459-7
Vladimir Rovenski
{"title":"Foliated structure of weak nearly Sasakian manifolds","authors":"Vladimir Rovenski","doi":"10.1007/s10231-024-01459-7","DOIUrl":"10.1007/s10231-024-01459-7","url":null,"abstract":"<div><p>Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak, allowed us to take a new look at the theory of almost contact metric manifolds. In this paper we study the new structure of this type, called the weak nearly Sasakian structure. We find conditions that are satisfied by almost contact manifolds and under which the contact distribution is curvature invariant and weak nearly Sasakian manifolds admit two types of totally geodesic foliations. Our main result generalizes the theorem by Cappelletti-Montano and Dileo (Ann Matem Pura Appl 195:897-922, 2016) to the context of weak almost contact geometry.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2641 - 2652"},"PeriodicalIF":1.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881518","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
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