Browsing by Subject "subsolution"

Now showing 1 - 3 of 3

Access status: Open Access ,
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus
(2015) Dridi, Safa; Khamessi, Bilel
In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: $-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.$. Here $\Omega$ is an annulus in $\mathbb{R}^{n}$, $n\geq 3$, $\sigma \lt 1$ and $q$ is a positive function in $\mathcal{C}_{loc}^{\gamma }(\Omega )$, $0\lt\gamma \lt 1$, satisfying some appropriate assumptions related to Karamata regular variation theory. Our arguments combine a method of sub- and supersolutions with Karamata regular variation theory
Access status: Open Access ,
Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent
(Wydawnictwa AGH, 2021) Charkaoui, Abderrahim; Fahim, Houda; Alaa, Nour Eddine
We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent. Using Schaeffer's fixed point theorem combined with the sub- and supersolution method, we prove the existence results of a weak solutions to the considered problems.
Access status: Restricted ,
Pewne zastosowania teorii sterowania w matematyce finansowej
(Data obrony: 2015-04-22) Ogiegło, Anna
Wydział Matematyki Stosowanej