We study qualitative properties for nonnegative solutions to a conformally invariant coupled system of fourth order equations involving critical exponents. For defined in the punctured space, there exist essentially two cases analyze. If origin is removable singularity, we use an integral moving spheres method prove that non-singular are rotationally invariant. More precisely, they product sphe...

In this article we consider the existence and uniqueness of local weak solutions to the Emden-Fowler type wave equation tutt − uxx = |u|p−1u in [1, T ]× (a, b) with initial-boundary value conditions in a finite time interval.

This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with term ?1???[?r?1?]?+?3???[???]=0. The obtained results extend, and simplify known in literature. are illustrated examples.

In this paper we qualitatively study radial solutions of the semilinear elliptic equation $\Delta u + u^n = 0$ with $u(0)=1$ and $u'(0)=0$ on positive real line, called Emden-Fowler or Lane-Emden equation. This is great importance in Newtonian astrophysics constant $n$ polytropic index. By introducing a set new variables, can be written as an autonomous system two ordinary differential equation...