Results 41 to 50 of about 79 (76)
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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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 $$\displaylines{ \frac{1}{A}(A\Phi _p(u'))'+a_1(x)u^{\alpha_1}+a_2(x)u^{\alpha_2}=0, \quad \text{in } (0,1), \cr \lim_{x\to 0}A\Phi
Syrine Masmoudi, Samia Zermani
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Electronic Journal of Differential Equations, 2017 We study the existence, uniqueness, and asymptotic behavior of positive continuous solutions to the fractional Navier boundary-value problem $$\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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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 $$\displaylines{ \frac{1}{A}(Au')'+a_1(t)u^{\sigma _1}+a_2(t)u^{\sigma _2}=0,\quad t\in (0,\infty ), \cr ...
Imed Bachar
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Boundary blow-up solutions to semilinear elliptic equations with nonlinear gradient terms
Electronic Journal of Differential Equations, 2014 In this article we study the blow-up rate of solutions near the boundary for the semilinear elliptic problem $$\displaylines{ \Delta u\pm |\nabla u|^q=b(x)f(u), \quad x\in\Omega,\cr u(x)=\infty, \quad x\in\partial\Omega, }$$ where $\Omega$ is a ...
Shufang Liu, Yonglin Xu
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Electronic Journal of Differential Equations, 2016 In this article, we give an exact behavior at infinity of the unique solution to the following singular boundary value problem $$\displaylines{ -\frac{1}{A}(Au')'=q(t)g(u), \quad t \in (0,\infty), \cr u>0, \quad \lim_{t\to 0}A(t)u'(t)=0, \quad \lim_ ...
Habib Maagli +2 more
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Electronic Journal of Differential Equations, 2015 In this article, we consider the problem $$ -\Delta u =b(x)g(u)+ \lambda a(x)|\nabla u|^{q}+\sigma(x),\; u > 0,\; x\in \Omega,\quad u|_{\partial \Omega }= 0 $$ with $\lambda\in\mathbb{R}$, $q\in [0, 2]$ in a smooth bounded domain $\Omega$ of ...
Haitao Wan
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Electronic Journal of Differential Equations, 2006 We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem $$ -Delta =k(x)g(u)+lambda |abla u|^q, quad u>0,; xin Omega,quad uig|_{partial{Omega}}=0, $$ where $Omega$ is a bounded domain with smooth ...
Zhijun Zhang
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TAUBERIAN THEOREMS FOR MATRIX REGULAR VARIATION. [PDF]
Trans Am Math Soc, 2013 Meerschaert MM, Scheffler HP.
europepmc +1 more source
Biophysics of bacterial walls viewed as stress-bearing fabric. [PDF]
Microbiol Rev, 1988 Koch AL.
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