- Full text PDF available (8)
Using numerical methods, we will show the existence of multiple solutions for the equation −∆u = λf (u) with Dirichlet boundary condition in a bounded domain Ω, where λ > 0 and f (u) is a superlinear function of u.
The objective of this study was to determine the effects of hydrostatic pressure (HP) on the biochemical properties and gene expression of mesenchymal stem cells (MSCs) on scaffolds for cartilage tissue engineering composed of poly(caprolactone) (PCL) poly(vinyl alcohol) (PVA) gelatin (GEL) semi interpenetrating polymer network (semi-IPN). The MSCs were… (More)
In this work we present a numerical approach for finding positive solutions for −∆u = λ(u + u 2 + u 3) for x ∈ Ω with Dirichlet boundary condition. We will show that in which range of λ, this problem achieves a numerical solution and what is the behavior of the branch of this solutions.
Using a numerical method based on sub-super solution, we will obtain positive solution to the coupled-system of boundary value problems of the form −∆u = λ 1 f (v) + µ 1 h(u) in Ω −∆v = λ 2 g(u) + µ 2 γ(v) in Ω u = 0 = v on ∂Ω where −∆ is the Laplacian operator λ 1 , λ 2 , µ 1 , µ 2 are nonnegative parameters, and Ω is a bounded region in R n , with smooth… (More)
In a recent result (see Jaffar Ali and shivaji ), it was shown via the method of sub-super solutions that a semipositone problem with a sign changing weight has at least one positive solution. In this paper we want to investigate that solution numerically.