Results 31 to 40 of about 886 (94)
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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Karamata's characterization theorem, feller and regular variation in probability theory
Publications de l'Institut Mathematique, 2002 This article is devoted to the application of regular variation in probability theory. It starts with the proof of a version of \textit{J. Karamata}'s characterization theorem, stated without proof in [Bull. Soc. Math. Fr. 61, 55--62 (1933; Zbl 0008.00807)]. This theorem is then used to identify the spectral functions in the canonical representation of
openaire +3 more sources
Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior [PDF]
, 2019 We provide several Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior. Our results generalize and improve various known versions of the Ingham-Fatou-Riesz theorem and the Wiener-Ikehara theorem.
Debruyne, Gregory, Vindas Diaz, Jasson
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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, $$ \textstyle\begin{cases} -\Delta ...
Imed Bachar, Habib Mâagli, Said Mesloub
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The Depositional Record, Volume 11, Issue 4, Page 1029-1062, September 2025.The article demonstrates that brine was central for the supply of Ca and B to the studied saline lake. The ion transport occurred probably by thermal springs, while contributions from surface waters cannot be excluded. However, the saturation and syndepositional precipitation of Ca borates were initiated by an arid climate through evaporation, while ...
Nevena Andrić‐Tomašević +8 more
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Asymptotic boundary estimates for solutions to the p-Laplacian with infinite boundary values
Boundary Value Problems, 2019 In this paper, by using Karamata regular variation theory and the method of upper and lower solutions, we mainly study the second order expansion of solutions to the following p-Laplacian problems: Δpu=b(x)f(u),u>0,x∈Ω,u|∂Ω=∞ $\Delta _{p} u=b(x)f(u), u>0,
Ling Mi
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A robust Corrádi–Hajnal theorem
Random Structures &Algorithms, Volume 65, Issue 1, Page 61-130, August 2024.Abstract For a graph G$$ G $$ and p∈[0,1]$$ p\in \left[0,1\right] $$, we denote by Gp$$ {G}_p $$ the random sparsification of G$$ G $$ obtained by keeping each edge of G$$ G $$ independently, with probability p$$ p $$. We show that there exists a C>0$$ C>0 $$ such that if p≥C(logn)1/3n−2/3$$ p\ge C{\left(\log n\right)}^{1/3}{n}^{-2/3} $$ and G$$ G ...
Peter Allen +7 more
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Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 The aim of this paper is to establish existence and uniqueness of a positive continuous solution to the following singular nonlinear problem. {-t1-ntn-1u′′=a(t)uσ, t∈(0,1010), limt→0tn-1u′(t)=, u()=}, where n ≥ 3, σ < 1, and a denotes a nonnegative continuous function that might have the property of being singular at t = 0 and /or t = 1 and which ...
Imed Bachar +3 more
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Applications of Tauberian Theorem for High-SNR Analysis of Performance over Fading Channels
, 2011 This paper derives high-SNR asymptotic average error rates over fading channels by relating them to the outage probability, under mild assumptions. The analysis is based on the Tauberian theorem for Laplace-Stieltjes transforms which is grounded on the ...
Tepedelenlioglu, Cihan, Zhang, Yuan
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