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A class of elliptic system in non reflexive Orlicz-Sobolev spaces 非反射 Orlicz-Sobolev 空间中的一类椭圆系统
Annali dell''Universita di Ferrara Pub Date : 2024-11-20 DOI: 10.1007/s11565-024-00546-0
Hamza El-Houari
{"title":"A class of elliptic system in non reflexive Orlicz-Sobolev spaces","authors":"Hamza El-Houari","doi":"10.1007/s11565-024-00546-0","DOIUrl":"10.1007/s11565-024-00546-0","url":null,"abstract":"<div><p>This paper aims to show that there exists a weak solution to the following quasilinear system driven by the <i>M</i>-Laplacian </p><div><div><span>$$begin{aligned} {left{ begin{array}{ll} (-Delta _{m_1})u=F_u(x,u,v)&amp; inquad Omega , (-Delta _{m_2})v=F_v(x,u,v)&amp; inquad Omega , u=v=0&amp; inquad partial Omega , end{array}right. } end{aligned}$$</span></div><div>\u0000 (0.1)\u0000 </div></div><p>where <span>(Omega )</span> is a bounded open subset in <span>({mathbb {R}}^N)</span> and <span>((-Delta _{m}))</span> is the <i>M</i>-Laplacian operator. Here we consider the non-reflexive case taking into account the Orlicz and Orlicz-Sobolev Space. The non-reflexive case occurs when the <i>N</i>-function <span>({overline{M}})</span> does not verify the <span>(Delta _2)</span>-condition. We consider an approximated quasilinear elliptic problem driven by the <span>(M_epsilon )</span>-Laplacian and using the Mountain Pass Theorem to obtain the existence of a nontrivial and nonnegative solution for the above system in reflexive case. By tending <span>(epsilon rightarrow 0)</span> we get the solution in the non-reflexive case.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142672417","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}
引用次数: 0
An inertial extragradient algorithm for a common solution of generalized mixed equilibrium problem and fixed point problem of nonexpansive mappings 广义混合均衡问题和非展开映射定点问题共解的惯性外梯度算法
Annali dell''Universita di Ferrara Pub Date : 2024-11-20 DOI: 10.1007/s11565-024-00545-1
Abdellah Bnouhachem
{"title":"An inertial extragradient algorithm for a common solution of generalized mixed equilibrium problem and fixed point problem of nonexpansive mappings","authors":"Abdellah Bnouhachem","doi":"10.1007/s11565-024-00545-1","DOIUrl":"10.1007/s11565-024-00545-1","url":null,"abstract":"<div><p>In this paper, we propose an inertial iterative method for approximating a common solution of generalized mixed equilibrium problem for monotone and uniformly continuous operators and fixed point of nonexpansive mapping in real Hilbert space. The strong convergence of the sequence generated by the proposed method can be guaranteed without prior knowledge of the Lipschitz constant of the operator. Preliminary numerical experiments are included to verify the theoretical assertions of the proposed method. Our result improves, extends and generalizes several of the existing results in this direction.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142672451","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}
引用次数: 0
A generalization of singular modules in terms of purely extending property 从纯扩展性质看奇异模块的一般化
Annali dell''Universita di Ferrara Pub Date : 2024-11-14 DOI: 10.1007/s11565-024-00567-9
Enas Mustafa Kamil, Bijan Davvaz
{"title":"A generalization of singular modules in terms of purely extending property","authors":"Enas Mustafa Kamil,&nbsp;Bijan Davvaz","doi":"10.1007/s11565-024-00567-9","DOIUrl":"10.1007/s11565-024-00567-9","url":null,"abstract":"<div><p>In this article, we present and examine a type of modules that represent appropriate generalizations of each of the singular modules, purely extending and CCLS modules. A module <i>M</i> is called purely CCLS module if every c-closed submodule of <i>M</i> is pure in <i>M</i>. We locate purely CCLS module with generalizations of extending modules. We present some characterizations of purely CCLS and we show that the direct summand of purely CCLS modules is again purely CCLS. Furthermore, we go over when a direct sum of purely CCLS is likewise purely CCLS. Additionally, we provide adequate circumstances under which the direct sum of purely CCLS is purely CCLS.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636665","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}
引用次数: 0
Plancherel and inversion formulas for the Dunkl-type Segal-Bargmann transform 邓克尔型西格尔-巴格曼变换的普朗切尔公式和反演公式
Annali dell''Universita di Ferrara Pub Date : 2024-11-14 DOI: 10.1007/s11565-024-00563-z
Fethi Soltani, Meriem Nenni
{"title":"Plancherel and inversion formulas for the Dunkl-type Segal-Bargmann transform","authors":"Fethi Soltani,&nbsp;Meriem Nenni","doi":"10.1007/s11565-024-00563-z","DOIUrl":"10.1007/s11565-024-00563-z","url":null,"abstract":"<div><p>In 1961, Bargmann introduced the classical Segal-Bargmann transform and in 1984, Cholewinsky introduced the generalized Segal-Bargmann transform. These two transforms are the aim of many works, and have many applications in mathematics. In this paper we introduce the Dunkl-type Segal-Bargmann transform <span>(mathscr {B}_{alpha })</span> associated with the Coxeter group <span>(mathbb {Z}^d_2)</span>. Next, we investigate for this transform the main theorems of harmonic analysis (Plancherel and inversion formulas). Finally, we study some local uncertainty principles associated with the transform <span>(mathscr {B}_{alpha })</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636667","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}
引用次数: 0
Stabilization of the Coleman-Gurtin thermal coupling with swelling porous system: general decay rate 科尔曼-古尔廷热耦合与膨胀多孔系统的稳定：一般衰减率
Annali dell''Universita di Ferrara Pub Date : 2024-11-14 DOI: 10.1007/s11565-024-00560-2
Adel M. Al-Mahdi, Tijani A. Apalara, Mohammad Al-Gharabli, Salim Messaoudi
{"title":"Stabilization of the Coleman-Gurtin thermal coupling with swelling porous system: general decay rate","authors":"Adel M. Al-Mahdi,&nbsp;Tijani A. Apalara,&nbsp;Mohammad Al-Gharabli,&nbsp;Salim Messaoudi","doi":"10.1007/s11565-024-00560-2","DOIUrl":"10.1007/s11565-024-00560-2","url":null,"abstract":"<div><p>This paper is concerned with a thermoelastic swelling system with Coleman-Gurtin’s law, when the heat flux <i>q</i> is given by </p><div><div><span>$$begin{aligned} tau q(t)+(1-alpha )theta _{x}+alpha int _{0}^{infty } Psi (s)theta _{x}(x, t-s)ds=0,qquad alpha in (0, 1), end{aligned}$$</span></div></div><p>where <span>(theta )</span> is the temperature supposed to be known for negative times. <span>(Psi )</span> is the convolution thermal kernel, a nonnegative bounded convex function on <span>([0, + infty ))</span> belongs to a broad class of relaxation functions satisfying the unitary total mass, and some additional properties that will be specified later. By using the Dafermos history framework and constructing a suitable Lyapunov functional, we established a general decay result, from which the exponential and polynomial decay rates are only special cases. The stability result in this manuscript is obtained without imposing any stability number, and extends and improves many earlier results in the literature.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636666","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}
引用次数: 0
Analogue of Ramanujan’s function (k(tau )) for the continued fraction (X(tau )) of order six 六阶续分 (X(tau))的 Ramanujan 函数 (k(tau))的类似物
Annali dell''Universita di Ferrara Pub Date : 2024-11-11 DOI: 10.1007/s11565-024-00544-2
Russelle Guadalupe, Victor Manuel Aricheta
{"title":"Analogue of Ramanujan’s function (k(tau )) for the continued fraction (X(tau )) of order six","authors":"Russelle Guadalupe,&nbsp;Victor Manuel Aricheta","doi":"10.1007/s11565-024-00544-2","DOIUrl":"10.1007/s11565-024-00544-2","url":null,"abstract":"<div><p>Motivated by the recent work of Park on the analogue of the Ramanujan’s function <span>(k(tau )=r(tau )r^2(2tau ))</span> for the Ramanujan’s cubic continued fraction, where <span>(r(tau ))</span> is the Rogers–Ramanujan continued fraction, we use the methods of Lee and Park to study the modularity and arithmetic of the function <span>(w(tau ) = X(tau )X(3tau ))</span>, which may be considered as an analogue of <span>(k(tau ))</span> for the continued fraction <span>(X(tau ))</span> of order six introduced by Vasuki, Bhaskar and Sharath. In particular, we show that <span>(w(tau ))</span> can be written in terms of the normalized generator <span>(u(tau ))</span> of the field of all modular functions on <span>(Gamma _0(18))</span>, and derive modular equations for <span>(u(tau ))</span> of smaller prime levels. We also express <span>(j(dtau ))</span> for <span>(din {1,2,3,6,9,18})</span> in terms of <span>(u(tau ))</span>, where <i>j</i> is the modular <i>j</i>-invariant.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142598957","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}
引用次数: 0
On warped product pointwise quasi bi-slant submanifolds of Kenmotsu manifolds 论剑母流形的翘积点式准双斜子流形
Annali dell''Universita di Ferrara Pub Date : 2024-11-09 DOI: 10.1007/s11565-024-00565-x
Prince Majeed, Mehraj Ahmad Lone
{"title":"On warped product pointwise quasi bi-slant submanifolds of Kenmotsu manifolds","authors":"Prince Majeed,&nbsp;Mehraj Ahmad Lone","doi":"10.1007/s11565-024-00565-x","DOIUrl":"10.1007/s11565-024-00565-x","url":null,"abstract":"<div><p>In this paper, we have examined the idea of pointwise quasi bi-slant submanifolds of Kenmotsu manifolds and studied warped product pointwise quasi bi-slant submanifolds of Kenmotsu manifolds. We obtain several results on pointwise quasi bi-slant submanifolds of Kenmotsu manifolds and proved the characterization theorem for warped product pointwise quasi bi-slant submanifolds. Also, we provide a non-trivial example of such warped product submanifold. \u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142598912","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}
引用次数: 0
Some estimates for octonion transform 八离子变换的一些估计值
Annali dell''Universita di Ferrara Pub Date : 2024-11-09 DOI: 10.1007/s11565-024-00566-w
A. Serhir, N. Safouane, A. Achak, A. El Hyat
{"title":"Some estimates for octonion transform","authors":"A. Serhir,&nbsp;N. Safouane,&nbsp;A. Achak,&nbsp;A. El Hyat","doi":"10.1007/s11565-024-00566-w","DOIUrl":"10.1007/s11565-024-00566-w","url":null,"abstract":"<div><p>This paper extends classical approximation theory by establishing Bernstein’s inequality and Jackson’s direct and inverse theorems for the Octonion transform, focusing on functions with a bounded spectrum. Jackson’s inequality bounds the best polynomial approximation of a function based on its smoothness, while Bernstein’s inequality relates the maximum modulus of a polynomial and its derivative on the unit disk. The paper adapts these concepts to the context of octonions.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142596072","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}
引用次数: 0
Existence of solutions for fractional functional integral equations of Hadamard type via measure of noncompactness 通过非紧密性度量哈达玛德型分数函数积分方程解的存在性
Annali dell''Universita di Ferrara Pub Date : 2024-11-08 DOI: 10.1007/s11565-024-00569-7
Rakesh Kumar, Satish Kumar, Bhupander Singh, Hamid Reza Sahebi
{"title":"Existence of solutions for fractional functional integral equations of Hadamard type via measure of noncompactness","authors":"Rakesh Kumar,&nbsp;Satish Kumar,&nbsp;Bhupander Singh,&nbsp;Hamid Reza Sahebi","doi":"10.1007/s11565-024-00569-7","DOIUrl":"10.1007/s11565-024-00569-7","url":null,"abstract":"<div><p>In this paper, we study the solvability for fractional functional integral equations of Hadamard-type within the Banach algebra <span>(C([1, c]), c &gt; 0)</span>. We utilize the Darbo’s fixed point theorem combined with the measure of non-compactness as the main tool. Notably, our existence results encompass and generalize various findings documented in previous literature. To demonstrate the applicability of our approach, we present a detailed example highlighting its effectiveness.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142595589","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}
引用次数: 0
Annihilators of power values of generalized skew derivations on Lie ideals in prime rings 素环中列理想上广义偏斜导数幂值的湮没器
Annali dell''Universita di Ferrara Pub Date : 2024-11-07 DOI: 10.1007/s11565-024-00542-4
C. Garg, B. Dhara
{"title":"Annihilators of power values of generalized skew derivations on Lie ideals in prime rings","authors":"C. Garg,&nbsp;B. Dhara","doi":"10.1007/s11565-024-00542-4","DOIUrl":"10.1007/s11565-024-00542-4","url":null,"abstract":"<div><p>Let <i>R</i> be a prime ring of characteristic different from 2, <span>(nge 1)</span> a fixed integer, <i>C</i> the extended centroid of <i>R</i>, <i>F</i> a generalized skew derivation of <i>R</i> and <i>L</i> a Lie ideal of <i>R</i>. If there exists <span>(0 ne a in R)</span> such that <span>(a(F(xy)-yx)^{n}=0)</span> for all <span>(x,yin L)</span>, then <i>L</i> is central, unless <i>R</i> satisfies the standard polynomial identity <span>(s_4(x_1, ldots , x_4))</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142595564","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}
引用次数: 0
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