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Studia Universitatis BabesBolyai Geologia最新文献

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Multiple solutions for eigenvalue problems involving the (p,q)-Laplacian 包含(p,q)-拉普拉斯算子的特征值问题的多个解
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI: 10.24193/subbmath.2023.1.07
P. Pucci
{"title":"Multiple solutions for eigenvalue problems involving the (p,q)-Laplacian","authors":"P. Pucci","doi":"10.24193/subbmath.2023.1.07","DOIUrl":"https://doi.org/10.24193/subbmath.2023.1.07","url":null,"abstract":"\"This paper is devoted to a subject that Professor Csaba Varga suggested during his frequent visits to the University of Perugia and in my regular stays at the \"\"Babe s-Bolyai\"\" University. More speci cally, continuing the work started in [7] jointly with Professor Varga, here we establish the existence of two nontrivial (weak) solutions of some one parameter eigenvalue (p,q)-Laplacian problems under homogeneous Dirichlet boundary conditions in bounded domains of R^N.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88119845","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: 1
Multiple solution for a fourth-order nonlinear eigenvalue problem with singular and sublinear potential 一类具有奇异和次线性势的四阶非线性特征值问题的多重解
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI: 10.24193/subbmath.2023.1.10
Csaba Farkas, I. Mezei, Zsuzsanna-Timea Nagy
{"title":"Multiple solution for a fourth-order nonlinear eigenvalue problem with singular and sublinear potential","authors":"Csaba Farkas, I. Mezei, Zsuzsanna-Timea Nagy","doi":"10.24193/subbmath.2023.1.10","DOIUrl":"https://doi.org/10.24193/subbmath.2023.1.10","url":null,"abstract":"\"Let $(M,g)$ be a Cartan-Hadamard manifold. For certain positive numbers $mu$ and $lambda$, we establish the multiplicity of solutions to the problem $$Delta_g^2 u-Delta_g u+u=mu frac{u}{d_g(x_0,x)^4}+lambda alpha(x)f(u), mbox{ in } M,$$ where $x_0in M$, while $f:RtoR$ is continuous function, superlinear at zero and sublinear at infinity.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74942858","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
"Monotonicity with respect to p of the best constants associated with Sobolev immersions of type $W_0^{1,p}(Omega)hookrightarrow L^q(Omega)$ when $qin{1,p,infty}$" 当$qin{1,p,infty}$时，与Sobolev浸入式$W_0^{1,p}(Omega)hookrightarrow L^q(Omega)$有关的最佳常数对p的单调性
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI: 10.24193/subbmath.2023.1.08
M. Mihăilescu, Denisa Stancu-Dumitru
{"title":"\"Monotonicity with respect to p of the best constants associated with Sobolev immersions of type $W_0^{1,p}(Omega)hookrightarrow L^q(Omega)$ when $qin{1,p,infty}$\"","authors":"M. Mihăilescu, Denisa Stancu-Dumitru","doi":"10.24193/subbmath.2023.1.08","DOIUrl":"https://doi.org/10.24193/subbmath.2023.1.08","url":null,"abstract":"\"The goal of this paper is to collect some known results on the monotonicity with respect to $p$ of the best constants associated with Sobolev immersions of type $W_0^{1,p}(Omega)hookrightarrow L^q(Omega)$ when $qin{1,p,infty}$. More precisely, letting $$lambda(p,q;Omega):=inflimits_{uin W_0^{1,p}(Omega) setminus{0}}{|;|nabla u|_D;|_{L^p(Omega)}}{|u|_{L^q(Omega)}^{-1}},,$$ we recall some monotonicity results related with the following functions begin{eqnarray*} (1,infty)ni p&mapsto &|Omega|^{p-1}lambda(p,1;Omega)^p,, (1,infty)ni p&mapsto &lambda(p,p;Omega)^p,, (D,infty)ni p&mapsto &lambda(p,infty;Omega)^p,, end{eqnarray*} when $Omegasubset mathbb{R}^{D}$ is a given open, bounded and convex set with smooth boundary.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77162879","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 a singular elliptic problem with variable exponent 一类变指数奇异椭圆问题
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI: 10.24193/subbmath.2023.1.03
Francesca Farraci
{"title":"On a singular elliptic problem with variable exponent","authors":"Francesca Farraci","doi":"10.24193/subbmath.2023.1.03","DOIUrl":"https://doi.org/10.24193/subbmath.2023.1.03","url":null,"abstract":"\"In the present note we study a semilinear elliptic Dirichlet problem involving a singular term with variable exponent of the following type $$left{ begin{array}{ll} -Delta u= frac{f(x)}{u^{gamma(x)} }, & hbox{ in } Omega u>0, & hbox{ in } Omega u=0, & hbox{on } partial Omega end{array} right.eqno{(mathcal{P})}$$ Existence and uniqueness results are proved when $fgeq 0$.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83015786","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: 1
Existence results for Dirichlet double phase differential inclusions 狄利克雷双相差夹杂的存在性结果
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI: 10.24193/subbmath.2023.1.04
Nicuşor Costea, Shengda Zeng
{"title":"Existence results for Dirichlet double phase differential inclusions","authors":"Nicuşor Costea, Shengda Zeng","doi":"10.24193/subbmath.2023.1.04","DOIUrl":"https://doi.org/10.24193/subbmath.2023.1.04","url":null,"abstract":"\"In this paper we consider a class of double phase differential inclusions of the type $$left{ begin{array}{ll} -{rm div;}left(|nabla u|^{p-2}nabla u+mu(x)|nabla u|^{q-2}nabla uright) in partial_C^2 f(x,u) , & mbox{ in }Omega, u=0, & mbox{ on }partialOmega, end{array} right.$$ where $Omega subset mathbb{R}^N$, with $Nge 2$, is a bounded domain with Lipschitz boundary, $f(x,t)$ is measurable w.r.t. the first variable on $Omega$ and locally Lipschitz w.r.t. the second variable and $partial_C^2 f(x,cdot)$ stands for the Clarke subdifferential of $tmapsto f(x,t)$. The variational formulation of the problem gives rise to a so-called hemivariational inequality and the corresponding energy functional is not differentiable, but only locally Lipschitz. We use nonsmooth critical point theory to prove the existence of at least one weak solution, provided the $partial_C^2 f(x,cdot)$ satisfies an appropriate growth condition.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76205282","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
Deficient quartic spline of Marsden type with minimal deviation by the data polygon 数据多边形偏差最小的马斯登型缺四次样条
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI: 10.24193/subbmath.2023.1.15
{"title":"Deficient quartic spline of Marsden type with minimal deviation by the data polygon","authors":"","doi":"10.24193/subbmath.2023.1.15","DOIUrl":"https://doi.org/10.24193/subbmath.2023.1.15","url":null,"abstract":"\"In this work we construct the deficient quartic spline with the knots following the Marsden's scheme and prove the existence and uniqueness of the deficient quartic spline with minimal deviation by the data polygon. The inter- polation error estimate of the obtained quartic spline is given in terms of the modulus of continuity. A numerical example is included in order to illustrate the geometrical behaviour of the quartic spline with minimal quadratic oscillation in average in comparison with the two times continuous di erentiable de cient quartic spline.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84525401","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
Coefficient estimates for a subclass of analytic functions by Srivastava-Attiya operator 用Srivastava-Attiya算子估计解析函数子类的系数
Studia Universitatis BabesBolyai Geologia Pub Date : 2022-12-01 DOI: 10.24193/subbmath.2022.4.06
M. Jafari, Ahmad Motamednezad, E. A. Adegani
{"title":"Coefficient estimates for a subclass of analytic functions by Srivastava-Attiya operator","authors":"M. Jafari, Ahmad Motamednezad, E. A. Adegani","doi":"10.24193/subbmath.2022.4.06","DOIUrl":"https://doi.org/10.24193/subbmath.2022.4.06","url":null,"abstract":"\"In this paper, we investigate bounds of the coefficients for subclass of analytic and bi-univalent functions. The results presented in this paper would generalize and improve some recent works and other authors.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73413497","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: 3
Government Educational Spending and Human Capital Development in ECOWAS Sub-Region: Implication For Sustainable Development 西非经共体次区域政府教育支出和人力资本开发:对可持续发展的影响
Studia Universitatis BabesBolyai Geologia Pub Date : 2022-12-01 DOI: 10.2478/subboec-2022-0014
Emmanuel Oloke, W. Olanipekun, O. Mabinuori, Lucas B. Ojo, T. Aderemi
{"title":"Government Educational Spending and Human Capital Development in ECOWAS Sub-Region: Implication For Sustainable Development","authors":"Emmanuel Oloke, W. Olanipekun, O. Mabinuori, Lucas B. Ojo, T. Aderemi","doi":"10.2478/subboec-2022-0014","DOIUrl":"https://doi.org/10.2478/subboec-2022-0014","url":null,"abstract":"Abstract The critical need to create economic prosperity and ensure inclusive and equitable education and lifelong learning for all, especially in developing countries has been the motivation behind the various advocacies by the policymakers and other stakeholders in these countries to achieve the SDGs comes 2030. Meanwhile, ECOWAS sub region is characterized with the lowest human capital development alongside the highest rates of illiteracy in the world despite the continuous rise in government educational spending over the years. Against this backdrop, the role of government educational spending on human capital development in ECOWAS sub-region has been investigated with a view to driving one of the strategic goals of Sustainable Development- inclusive and equitable education and lifelong learning for all. In order to achieve this, annual data from 1990 to 2019 was utilized using a panel ARDL as a technique of estimation. The findings that emerged in this work are summarized as follows; the relationship between government educational spending and human capital development in ECOWAS sub region is more of a long run phenomenon. Therefore, government educational spending and human capital development have a positive and significant relationship in the long run. In the light of the above findings, this study therefore makes the following recommendations for the policymakers in ECOWAS sub region and by extension developing countries, any time the goal of these policymakers is inclusive and equitable lifelong learning via human capital development, the government at levels should embark on sustainable educational spending. In the same vein, these policymakers should be committed to funding of educational sector as stipulated by both the United Nations and the Abuja declaration of 2001, advocating for 26% of annual budget for educational sector in developing countries.","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73614227","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
Hybrid conjugate gradient-BFGS methods based on Wolfe line search 基于Wolfe线搜索的混合共轭梯度- bfgs方法
Studia Universitatis BabesBolyai Geologia Pub Date : 2022-12-01 DOI: 10.24193/subbmath.2022.4.14
Khelladi Samia, Benterki Djamel
{"title":"Hybrid conjugate gradient-BFGS methods based on Wolfe line search","authors":"Khelladi Samia, Benterki Djamel","doi":"10.24193/subbmath.2022.4.14","DOIUrl":"https://doi.org/10.24193/subbmath.2022.4.14","url":null,"abstract":"\"In this paper, we present some hybrid methods for solving unconstrained optimization problems. These methods are defined using proper combinations of the search directions and included parameters in conjugate gradient and quasi-Newton method of Broyden-Fletcher-Goldfarb-Shanno (CG-BFGS). Their global convergence under the Wolfe line search is analyzed for general objective functions. Numerical experiments show the superiority of the modified hybrid (CG-BFGS) method with respect to some existing methods.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75857657","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: 2
Finite time blow-up for quasilinear wave equations with nonlinear dissipation 具有非线性耗散的拟线性波动方程的有限时间爆破
Studia Universitatis BabesBolyai Geologia Pub Date : 2022-12-01 DOI: 10.24193/subbmath.2022.4.09
M. Kerker
{"title":"Finite time blow-up for quasilinear wave equations with nonlinear dissipation","authors":"M. Kerker","doi":"10.24193/subbmath.2022.4.09","DOIUrl":"https://doi.org/10.24193/subbmath.2022.4.09","url":null,"abstract":"\"In this paper we consider a class of quasilinear wave equations $$u_{tt}-Delta_{alpha} u-omega_1Delta u_t-omega_2Delta_{beta}u_t+muvert u_tvert^{m-2}u_t=vert uvert^{p-2}u,$$ associated with initial and Dirichlet boundary conditions. Under certain conditions on $alpha,beta,m,p$, we show that any solution with positive initial energy, blows up in finite time. Furthermore, a lower bound for the blow-up time will be given.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84264027","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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