Results 51 to 60 of about 886 (94)
Methods in half-linear asymptotic theory
Electronic Journal of Differential Equations, 2016 We study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation $$ (r(t)|y'|^{\alpha-1}\hbox{sgn} y')'=p(t)|y|^{\alpha-1}\hbox{sgn} y, $$ where r(t) and p(t) are positive continuous functions ...
Pavel Rehak
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Existence and asymptotic behavior of solutions to nonlinear radial p-Laplacian equations
Electronic Journal of Differential Equations, 2015 This article concerns the existence, uniqueness and boundary behavior of positive solutions to the nonlinear problem $$\displaylines{ \frac{1}{A}(A\Phi _p(u'))'+a_1(x)u^{\alpha_1}+a_2(x)u^{\alpha_2}=0, \quad \text{in } (0,1), \cr \lim_{x\to 0}A\Phi
Syrine Masmoudi, Samia Zermani
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Second-order boundary estimate for the solution to infinity Laplace equations
Electronic Journal of Differential Equations, 2017 In this article, we establish a second-order estimate for the solutions to the infinity Laplace equation $$ -\Delta_{\infty} u=b(x)g(u), \quad u>0, \quad x \in \Omega,\; u|_{\partial \Omega}=0, $$ where $\Omega$ is a bounded domain in $\mathbb{R ...
Ling Mi
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Asymptotic behavior of positive solutions for the radial p-Laplacian equation
Electronic Journal of Differential Equations, 2012 We study the existence, uniqueness and asymptotic behavior of positive solutions to the nonlinear problem $$displaylines{ frac{1}{A}(APhi _p(u'))'+q(x)u^{alpha}=0,quad hbox{in }(0,1),cr lim_{xo 0}APhi _p(u')(x)=0,quad u(1)=0, }$$ where $alpha <p-
Sonia Ben Othman, Habib Maagli
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Convergence rates for pointwise curve estimation with a degenerate design [PDF]
, 2006 The nonparametric regression with a random design model is considered. We want to recover the regression function at a point x where the design density is vanishing or exploding. Depending on assumptions on the regression function local regularity and on
Gaiffas, Stéphane
core +2 more sources
Electronic Journal of Differential Equations, 2017 We study the existence, uniqueness, and asymptotic behavior of positive continuous solutions to the fractional Navier boundary-value problem $$\displaylines{ D^{\beta }(D^{\alpha }u)(x)=-p(x)u^{\sigma },\quad \in (0,1), \cr \lim_{x\to 0}x^{1-\beta ...
Habib Maagli, Abdelwaheb Dhifli
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On bootstrap sample size in extreme value theory [PDF]
It has been known for a long time that for bootstrapping theprobability distribution of the maximum of a sample consistently,the bootstrap sample size needs to be of smaller order than theoriginal sample size. See Jun Shao and Dongsheng Tu (1995), Ex.3.9,
Geluk, J.L., Haan, L.F.M. de
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Understanding heavy tails in a bounded world or, is a truncated heavy tail heavy or not? [PDF]
, 2009 We address the important question of the extent to which random variables and vectors with truncated power tails retain the characteristic features of random variables and vectors with power tails. We define two truncation regimes, soft truncation regime
Chakrabarty, Arijit +1 more
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Boundary blow-up solutions to semilinear elliptic equations with nonlinear gradient terms
Electronic Journal of Differential Equations, 2014 In this article we study the blow-up rate of solutions near the boundary for the semilinear elliptic problem $$\displaylines{ \Delta u\pm |\nabla u|^q=b(x)f(u), \quad x\in\Omega,\cr u(x)=\infty, \quad x\in\partial\Omega, }$$ where $\Omega$ is a ...
Shufang Liu, Yonglin Xu
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Combined effects in nonlinear singular second-order differential equations on the half-line
Electronic Journal of Differential Equations, 2015 We consider the existence, uniqueness and the asymptotic behavior of positive continuous solutions to the second-order boundary-value problem $$\displaylines{ \frac{1}{A}(Au')'+a_1(t)u^{\sigma _1}+a_2(t)u^{\sigma _2}=0,\quad t\in (0,\infty ), \cr ...
Imed Bachar
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