Results 41 to 50 of about 4,182 (106)
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
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
doaj
Singular solutions of a fractional Dirichlet problem in a punctured domain
FilomatLet D be a bounded regular domain in Rn (n ? 3) containing 0, 0 < ? < 2, and ? < 1. We take up in this article the existence and asymptotic behavior of a positive continuous solution for the following semi-linear fractional differential equation (??|D)
Sana Salah, Faten Toumi, Mohamed Hbaib
semanticscholar +1 more source
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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Combined effects in nonlinear singular elliptic problems in a bounded domain
, 2012 . We establish an existence result of positive solutions to the following boundary value problem: where is a bounded -domain in ℝn, and are nonnegative functions in , , satisfying some appropriate assumptions related to Karamata regular variation theory.
R. Chemmam +3 more
semanticscholar +1 more source
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 $$\displaylines{ \frac{1}{A}(A\Phi _p(u'))'+a_1(x)u^{\alpha_1}+a_2(x)u^{\alpha_2}=0, \quad \text{in } (0,1), \cr \lim_{x\to 0}A\Phi
Syrine Masmoudi, Samia Zermani
doaj
Understanding heavy tails in a bounded world or, is a truncated heavy tail heavy or not? [PDF]
, 2009 We address the important question of the extent to which random variables and vectors with truncated power tails retain the characteristic features of random variables and vectors with power tails. We define two truncation regimes, soft truncation regime
Chakrabarty, Arijit +1 more
core +1 more source
On bootstrap sample size in extreme value theory [PDF]
, 2002 It has been known for a long time that for bootstrapping the probability distribution of the maximum of a sample consistently, the bootstrap sample size needs to be of smaller order than the original sample size. See Jun Shao and Dongsheng Tu (1995), Ex.
Geluk, J.L. (Jaap) +1 more
core
Electronic Journal of Differential Equations, 2017 We study the existence, uniqueness, and asymptotic behavior of positive continuous solutions to the fractional Navier boundary-value problem $$\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
doaj
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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