in order to examine the multi-species weed competition in corn field an experiment as an interval mapping was carried out at the agricultural research field of ferdowsi university of mashhad during growing season 2009-2010. at 3-4 leafy stages of corn, 20 non-destructive quadrates determine and the density of weeds was counted separately. at the same time, 20 destructive quadrates determine and...

and Applied Analysis 3 Theorem 1.1. Assume that (A1) and (B1) hold. If λ ∈ 0,Λ0 , then Eλa,b admits at least one positive solution inH1 R . Associated with Eλa,b , we consider the energy functional Jλa,b inH1 R : Jλa,b u 1 2 ‖u‖H1 − λ q ∫ RN a x |u|dx − 1 p ∫

This paper deals with a p-Kirchhoff type problem involving signchanging weight functions. It is shown that under certain conditions, by means of variational methods, the existence of multiple nontrivial nonnegative solutions for the problem with the subcritical exponent are obtained. Moreover, in the case of critical exponent, we establish the existence of the solutions and prove that the ellip...