Results 21 to 30 of about 79 (76)
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 This paper deals with the following boundary value problem Dαut=ft,ut,t∈01,,u0=u1=Dα−3u0=u′1=0, where 3 < α ≤ 4, Dα is the Riemann‐Liouville fractional derivative, and the nonlinearity f, which could be singular at both t = 0 and t = 1, is required to be continuous on (0, 1) × ℝ satisfying a mild Lipschitz assumption.
Imed Bachar +3 more
wiley +1 more source
The exact asymptotic behaviour of the unique solution to a singular Dirichlet problem
Boundary Value Problems, 2006 By Karamata regular variation theory, we show the existence and exact asymptotic behaviour of the unique classical solution u∈C2+α(Ω)∩C(Ω¯) near the boundary to a singular Dirichlet problem −Δu=g(u)−k(x), u>0, xà ...
Jianning Yu, Zhijun Zhang
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Non‐native species have multiple abundance–impact curves
Ecology and Evolution, Volume 10, Issue 13, Page 6833-6843, July 2020., 2020 The abundance–impact curve is a useful tool for understanding and managing the impacts of invasive species. Using models based on the impacts of the zebra mussel, I show that a single invasive species can have radically different abundance–impact curves in different habitats.
David L. Strayer
wiley +1 more source
Abstract and Applied Analysis, 2014 We are interested in the following fractional boundary value problem: Dαu(t)+atuσ=0, t∈(0,∞), limt→0t2-αu(t)=0, limt→∞t1-αu(t)=0, where ...
Imed Bachar, Habib Mâagli
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Exact boundary behavior for the solutions to a class of infinity Laplace equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, by Karamata regular variation theory and the method of lower and upper solutions, we give an exact boundary behavior for the unique solution near the boundary to the singular Dirichlet problem $ -\Delta_{\infty} u=b(x)g(u), \ u>0, \ x \in \
Ling Mi
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Positive solutions of semilinear problems in an exterior domain of R2 $\mathbb{R}^{2}$
Boundary Value Problems, 2019 The aim of this paper is to establish the existence and global asymptotic behavior of a positive continuous solution for the following semilinear problem: {−Δu(x)=a(x)uσ(x),x∈D,u>0,in D,u(x)=0,x∈∂D,lim|x|→∞u(x)ln|x|=0, $$ \textstyle\begin{cases} -\Delta ...
Imed Bachar, Habib Mâagli, Said Mesloub
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Geoarchaeology, Volume 41, Issue 2, March/April 2026.ABSTRACT This study presents a preliminary provenance investigation of chert artifacts from the Neolithic site of Gorjani in Slavonia (eastern Croatia), aiming to assess the existence of long‐distance procurement or exchange networks in the western Balkans.
Petros Chatzimpaloglou +1 more
wiley +1 more source
Asymptotic boundary estimates for solutions to the p-Laplacian with infinite boundary values
Boundary Value Problems, 2019 In this paper, by using Karamata regular variation theory and the method of upper and lower solutions, we mainly study the second order expansion of solutions to the following p-Laplacian problems: Δpu=b(x)f(u),u>0,x∈Ω,u|∂Ω=∞ $\Delta _{p} u=b(x)f(u), u>0,
Ling Mi
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On extremal problems associated with random chords on a circle
Mathematika, Volume 71, Issue 4, October 2025.Abstract Inspired by the work of Karamata, we consider an extremization problem associated with the probability of intersecting two random chords inside a circle of radius r,r∈(0,1]$r, \, r \in (0,1]$, where the endpoints of the chords are drawn according to a given probability distribution on S1$\mathbb {S}^1$.
Cynthia Bortolotto, João P. G. Ramos
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we give the exact asymptotic behavior of the unique positive solution to the following singular boundary value problem \begin{equation*} \begin{cases} -\frac{1}{A}(Au^{\prime })^{\prime }=p(x)g(u),\quad x\in (0,1), \\ u>0,\quad \text{in ...
Imed Bachar, Habib Maagli
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