Hasna Moujani, Ali El Mfadel, Abderrazak Kassidi, M.’hamed El Omari
{"title":"On a class of nonlinear elliptic problems with double phase effects and laplacian-type operators in Musielak-Orlicz-Sobolev spaces","authors":"Hasna Moujani, Ali El Mfadel, Abderrazak Kassidi, M.’hamed El Omari","doi":"10.1007/s11565-025-00586-0","DOIUrl":"10.1007/s11565-025-00586-0","url":null,"abstract":"<div><p>This paper addresses the existence of weak solutions for a class of nonlinear Dirichlet boundary value problems governed by a double phase operator. The main results are established under precise assumptions on the nonlinearity of the second term. The analysis is carried out within the advanced framework of Musielak-Orlicz-Sobolev spaces, which accommodate the variable growth conditions induced by the double phase structure. To handle challenges related to weak convergence, we employ the Young measures technique. Additionally, approximate solutions are systematically constructed through the Galerkin method, ensuring a rigorous and structured approach to the problem.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Well-posedness for stochastic fractional navier-stokes equation in critical Fourier-Besov-Morrey spaces","authors":"Fatima Ouidirne, Achraf Azanzal, Mohamed Oukessou","doi":"10.1007/s11565-025-00584-2","DOIUrl":"10.1007/s11565-025-00584-2","url":null,"abstract":"<div><p>This work considers the 3-D stochastic fractional Navier-Stokes equation driven by multiplicative noise in critical Fourier-Besov-Morrey spaces <span>(mathcal {Fdot{N}}_{p,h,r}^{1-2beta +frac{3}{p^{prime }}+frac{h}{p}}(mathbb {R}^{3}))</span>. We establish the local existence and uniqueness of the solutions to the concerned equation and we prove the global existence in the probabilistic sense when the initial data are small.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A new generalization of the class of (m-)symmetric operators","authors":"Souhaib Djaballah, Messaoud Guesba","doi":"10.1007/s11565-025-00585-1","DOIUrl":"10.1007/s11565-025-00585-1","url":null,"abstract":"<div><p>In this paper, we define and study a new class of bounded linear operators which is a generalization of the class of <span>(m-)</span>symmetric operators. Let <i>m</i> be a strictly positive integer number and <span>(Uin {mathcal {B}}({mathcal {H}}))</span> is a unitary operator, an operator <span>(Tin {mathcal {B}}({mathcal {H}}))</span> is said to be a <span>((U,m)-)</span>symmetry if it commutes with <i>U</i> such that </p><div><div><span>$$begin{aligned} sum _{k=0}^m (-1)^{k}left( begin{array}{l} m k end{array}right) T^{*(m-k)}T^{k}U^{k}=0. end{aligned}$$</span></div></div><p>It is shown that if <i>T</i> is a <span>((U,m)-)</span>symmetry, then <span>(T^{p})</span> is a <span>((U^{p},m)-)</span>symmetry. We study the product and the sum of such a class. Moreover, if <i>T</i> is a <span>((U,m)-)</span>symmetry and <i>m</i> is even, we obtain that <i>T</i> is a <span>((U,m-1)-)</span>symmetry. We prove that if <i>Q</i> is a nilpotent operator of order <i>n</i> which commutes with both <i>T</i> and <i>U</i>, then <span>(T+Q)</span> is a <span>((U,m+2n-2)-)</span>symmetry. Also, we give some spectral properties of <span>((U,m)-)</span>symmetric operators. Finally, we show further results concerning this class of operators on a finite dimensional Hilbert space.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On natural symmetries on slit tangent bundles of Finsler manifolds","authors":"Mohamed Tahar Kadaoui Abbassi, Abderrahim Mekrami","doi":"10.1007/s11565-025-00583-3","DOIUrl":"10.1007/s11565-025-00583-3","url":null,"abstract":"<div><p>In this paper, we introduce a broad class of metrics on the slit tangent bundle of Finsler manifolds, referred to as <i>F</i>-natural metrics. These metrics are analogous to the well-established <i>g</i>-natural metrics on tangent bundles of Riemannian manifolds and are defined by six real functions on the domain of positive real numbers. We present an in-depth analysis of conformal, homothetic, and Killing vector fields associated with specific lifts of vector fields and tensor sections on the slit tangent bundle, equipped with a general pseudo-Riemannian <i>F</i>-natural metric. Notably, we prove that the geodesic vector field cannot be conformal and that, with respect to certain families of <i>F</i>-natural metrics, the Liouville vector field can indeed be conformal, homothetic, or Killing on the slit tangent bundle.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143564511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Giovanni Scudo, Ashutosh Pandey, Balchand Prajapati
{"title":"Generalized skew derivations on Lie ideals in prime rings","authors":"Giovanni Scudo, Ashutosh Pandey, Balchand Prajapati","doi":"10.1007/s11565-025-00581-5","DOIUrl":"10.1007/s11565-025-00581-5","url":null,"abstract":"<div><p>Let <i>R</i> be prime ring with characteristic different from 2, <i>C</i> denotes the extended centroid, <i>L</i> a Lie ideal of <i>R</i> and <span>(Q_r)</span> the right Martindale quotient of the ring <i>R</i>. Let <span>(Delta _1)</span> and <span>(Delta _2)</span> represents two generalized skew derivations of <i>R</i> associated with <span>((psi ,l_1))</span> and <span>((psi , l_2))</span>, respectively, such that <span>(psi .l_1=l_1.psi )</span> and <span>(psi . l_2= l_2.psi )</span>. If, for every <span>(r in L)</span>, <span>(Delta _1^2(r)r=Delta _2(r^2))</span>, then we characterize the maps <span>(Delta _1)</span> and <span>(Delta _2)</span>. As an application of this generalization, we proved that if <span>(Delta _1(tau ^2)=0)</span> for all <span>(tau in R)</span>, then <i>R</i> contains a non-zero central ideal.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Addenda to “The parallel postulate”","authors":"Victor Pambuccian","doi":"10.1007/s11565-025-00582-4","DOIUrl":"10.1007/s11565-025-00582-4","url":null,"abstract":"<div><p>It is pointed out that: (1) the positive version of the parallel postulate appearing in Pambuccian (Ann Univ Ferrara 71: 17, 2025) can be found in a 1935 manuscript by Paul Bernays and in <i>Grundlagen der Mathematik</i>, vol. II by Hilbert and Bernays; and (2) that axiom <b>S</b> appearing in the same paper is almost identical to Axiom IV in F. P. Jenks’ 1940 incidence-based axiom system for hyperbolic geometry.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inequalities between mixed moduli of smoothness in the case of limiting parameter values","authors":"B. V. Simonov, A.A. Jumabayeva","doi":"10.1007/s11565-025-00579-z","DOIUrl":"10.1007/s11565-025-00579-z","url":null,"abstract":"<div><p>In this paper we obtain Ulyanov-type inequalities between mixed moduli of smoothness of positive orders in mixed metrics in the case of limit values of the parameters.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mohammad Aslam Siddeeque, Abbas Hussain Shikeh, Raof Ahmad Bhat
{"title":"Structure of some additive maps in prime rings with involution","authors":"Mohammad Aslam Siddeeque, Abbas Hussain Shikeh, Raof Ahmad Bhat","doi":"10.1007/s11565-025-00580-6","DOIUrl":"10.1007/s11565-025-00580-6","url":null,"abstract":"<div><p>Let <span>(textrm{R})</span> be a noncommutative prime ring equipped with an involution ‘<span>(*)</span>’, and let <span>(mathcal {Q}_{ml}(textrm{R}))</span> be the maximal left ring of quotients of <span>(textrm{R})</span>. The objective of this paper is to characterize additive maps <span>(mathcal {H}:textrm{R}rightarrow mathcal {Q}_{ml}(textrm{R}))</span> that satisfy any one of the following conditions. (<i>i</i>) <span>(mathcal {H}(srs)=mathcal {H}(s)s^*r^*+smathcal {H}(r)s^*+srmathcal {H}(s))</span> for all <span>(s, rin textrm{R})</span>. (<i>ii</i>) <span>(mathcal {H}(s^*s)=mathcal {H}(s^*)s+s^*mathcal {H}(s))</span> for all <span>(sin textrm{R})</span>.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Double diffusion in a Navier–Stokes–Voigt fluid with a Christov heat law","authors":"Brian Straughan","doi":"10.1007/s11565-024-00577-7","DOIUrl":"10.1007/s11565-024-00577-7","url":null,"abstract":"<div><p>We investigate double diffusion in the context of the Navier–Stokes–Voigt equations but the heat equation is one suggested by C. I. Christov. The Christov heat equation may be highly relevant when dealing with flows in small dimensions such as are encountered in the area of microfluidics. The theory employed here essentially uses a Kelvin–Voigt term in both the momentum equation and the temperature equation, where both may be thought of as regularizing terms. In addition to finding stationary convection it is found that oscillatory convection will also occur if the salt Rayleigh number is sufficiently high. It is also found that the Kelvin–Voigt coefficient in the temperature equation has a relatively greater stabilizing effect that the analogous term in the momentum equation. A global nonlinear energy stability analysis is also included.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Iterative algorithms involving generalized inverse strongly monotone mapping","authors":"Bashir Ali, Abdulnasir Bala Nuhu","doi":"10.1007/s11565-024-00574-w","DOIUrl":"10.1007/s11565-024-00574-w","url":null,"abstract":"<div><p>In this paper, we introduce and study a new class of mapping called generalized inverse strongly monotone mapping in a real Hilbert space. We prove some properties of the map. We also introduce new iterative algorithm for approximation of a common point in the set of common fixed points of a countable family of strictly pseudocontractive mappings, the set of solutions of some mixed equilibrium problem and the set of solutions of Variational inequality problem involving the new mapping.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00574-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}