Asymptotic behavior of positive large solutions of semilinear Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2013 Let $\Omega $ be a smooth bounded domain in $\mathbb{R}^{n},\ n\geq 2$. This paper deals with the existence and the asymptotic behavior of positive solutions of the following problems \begin{equation*} \Delta u=a(x)u^{\alpha },\alpha >1\text{ and }\Delta
Habib Maagli +2 more
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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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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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The asymptotic behaviour of the unique solution for the singular Lane–Emden–Fowler equation
Journal of Mathematical Analysis and Applications, 2005 Zhijun Zhang
exaly +2 more sources
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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Large deviations for random walks under subexponentiality: the big-jump domain [PDF]
, 2007 For a given one-dimensional random walk $\{S_n\}$ with a subexponential step-size distribution, we present a unifying theory to study the sequences $\{x_n\}$ for which $\mathsf{P}\{S_n>x\}\sim n\mathsf{P}\{S_1>x\}$ as $n\to\infty$ uniformly for $x\ge x_n$
Denisov, D., Dieker, A. B., Shneer, V.
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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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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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Stable laws and Beurling kernels [PDF]
, 2016 We identify a close relation between stable distributions and the limiting homomorphisms central to the theory of regular variation. In so doing some simplifications are achieved in the direct analysis of these laws in Pitman and Pitman [PitP]; stable ...
Ostaszewski, Adam
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Singular phenomena in nonlinear elliptic problems. From blow-up boundary solutions to equations with singular nonlinearities [PDF]
, 2006 In this survey we report on some recent results related to various singular phenomena arising in the study of some classes of nonlinear elliptic equations. We establish qualitative results on the existence, nonexistence or the uniqueness of solutions and
Vicentiu D. Rădulescu
semanticscholar +1 more source