Ricerche di Matematica最新文献

Global Hessian estimate for second-order elliptic equation in Hardy spaces 哈代空间中二阶椭圆方程的全局黑森估计

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-09-18 DOI: 10.1007/s11587-024-00888-z

Le Xuan Truong, Nguyen Duc Trung, Nguyen Ngoc Trong, Tan Duc Do

引用次数: 0

Liouville results for stable solutions of weighted elliptic equations involving the Grushin operator 涉及格鲁申算子的加权椭圆方程稳定解的柳维尔结果

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-09-17 DOI: 10.1007/s11587-024-00887-0

Wafa Mtaouaa

{"title":"Liouville results for stable solutions of weighted elliptic equations involving the Grushin operator","authors":"Wafa Mtaouaa","doi":"10.1007/s11587-024-00887-0","DOIUrl":"https://doi.org/10.1007/s11587-024-00887-0","url":null,"abstract":"We examine the following weighted degenerate elliptic equation involving the Grushin operator: $$begin{aligned} Delta _s u+vartheta _{s}(x') |u|^{theta -1}u =0;;; text{ in },, mathbb {R}^N,;;N>2, ;; theta >1, end{aligned}$$where (x'=(x_{1},...,x_{m})in mathbb {R}^m,) (1le mle N,) (vartheta _{s} in C(mathbb {R}^m, mathbb {R})) is a continuous positive function satisfying $$begin{aligned} displaystyle {lim _{|x'|_{s}rightarrow infty }}frac{vartheta _{s}(x')}{|x'|_{s}^{alpha }}>0,;;; text{ for } text{ some },,alpha >-2, end{aligned}$$and (Delta _s) is an operator of the form $$begin{aligned} Delta _s:=sum _{i=1}^k partial _{x_{i}}(s_{i}^2partial _{x_{i}}). end{aligned}$$Under some general hypotheses of the functions (s_i,;i=1,dots , k,) we establish some new Liouville type theorems for stable solutions of this equation for a large classe of weights. Our results recover and considerably improve the previous works (Mtiri in Acta Appl Math 174:7, 2021; Farina and Hasegawa in Proc Royal Soc Edinburgh 150:1567, 2020).","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Hypercommuting conditions of b-generalized skew derivations on Lie ideals in prime rings 素环中列理想的 b 广义倾斜导数的超交换条件

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-09-16 DOI: 10.1007/s11587-024-00885-2

B. Dhara, G. S. Sandhu

{"title":"Hypercommuting conditions of b-generalized skew derivations on Lie ideals in prime rings","authors":"B. Dhara, G. S. Sandhu","doi":"10.1007/s11587-024-00885-2","DOIUrl":"https://doi.org/10.1007/s11587-024-00885-2","url":null,"abstract":"Let R be any non-commutative prime ring of char ((R)ne 2), L a non-central Lie ideal of R and F, G be b-generalized skew derivations of R. Suppose that $$[F(u)u-uG(u), u]_n=0$$for all (uin L) and for some fixed integer (nge 1), then one of the following assertions holds: <ol>\u0000<li>\u0000(1)\u0000there exist (a'',b''in Q_r) such that (F(x)=xa''), (G(x)=b''x) for all (xin R) with (a''-b''in C);\u0000</li>\u0000<li>\u0000(2)\u0000(Rsubseteq M_2(K),) the algebra of (2times 2) matrices over a field K and<ul>\u0000<li>\u0000either K is a finite field;\u0000</li>\u0000<li>\u0000or there exists (lambda in C) such that ((F+G)(x)=lambda x) for all (xin R);\u0000</li>\u0000<li>\u0000or there exists (lambda in C) and (hin Q_{r}) such that ((F+G)(x)=hx+xh+lambda x) for all (xin R).\u0000</li>\u0000</ul>\u0000</li>\u0000</ol> The above result, naturally improves the recent result obtained by Carini et al. in [4].","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Symmetrization results for parabolic equations with a singular lower order term 具有奇异低阶项的抛物方程的对称性结果

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-08-21 DOI: 10.1007/s11587-024-00876-3

Ida de Bonis

引用次数: 0

Quotient gamma nearness rings 商数伽马近邻环

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-08-12 DOI: 10.1007/s11587-024-00884-3

Mehmet Ali Öztürk, Damla Yilmaz

引用次数: 0

Spatial effects of two-stage contagion: a Cellular Automata model 两阶段传染的空间效应：细胞自动机模型

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-08-12 DOI: 10.1007/s11587-024-00881-6

Luca Meacci, Francisco J. Muñoz, Juan Carlos Nuño, Mario Primicerio

{"title":"Spatial effects of two-stage contagion: a Cellular Automata model","authors":"Luca Meacci, Francisco J. Muñoz, Juan Carlos Nuño, Mario Primicerio","doi":"10.1007/s11587-024-00881-6","DOIUrl":"https://doi.org/10.1007/s11587-024-00881-6","url":null,"abstract":"This paper investigates the impact of spatial factors on epidemic dynamics using a two-stage contagion model with two possible outcomes, whose probability of occurrence depends of a parameter (q in [0,1]). The model considers direct contagion ((q=1)), where contact with an ill individual causes a susceptible individual to become infected, and indirect contagion ((q=0)), where a susceptible individual, in contact with an infected individual, does not become ill but, enters an exposed intermediate stage, weakening their resistance to the disease. To incorporate spatial effects, we first define a rigorous integro-differential model expressed in terms of the densities of each class into which the population can be divided. The time evolution of these variables is determined by integrals that account for the range of influence of the contagion over the susceptible classes. Under certain conditions, this integro-differential system can be reduced to a system of ordinary differential equations for the average population in each class. Nonetheless, even for low-dimensional cases, the solution to this extended system appears to evade analytical methods. Alternatively, we represent the population using a cellular automata model on a two-dimensional square grid. We demonstrate that the outcome is influenced by the neighborhood size r; in the limit of large r, the model converges to the mean field approximation, where interactions follow a law of mass action. We specifically explore the impact of the initial spatial configuration on the population’s asymptotic behavior, highlighting its significance in cases of local bistability. Additionally, we establish that oscillatory spatial behavior can emerge when considering a recovered or death class. These findings lay the groundwork for future studies on multi-stage contagion in complex networks.\u0000","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Genus and crosscap of normal subgroup based power graphs of finite groups 基于有限群幂图的正则子群的属和交盖

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-08-07 DOI: 10.1007/s11587-024-00882-5

Parveen, Manisha, Jitender Kumar

引用次数: 0

Numerical semigroups with quasi maximal embedding dimension 具有准最大嵌入维数的数值半群

IF 1.2 4区数学

Ricerche di Matematica Pub Date : 2024-07-23 DOI: 10.1007/s11587-024-00872-7

D. Llena, J. C. Rosales

引用次数: 0

Regularity of algebraically tempered stable semigroups 代数调和稳定半群的正则性