Resumen de Qualitative properties of entire radial solutions for a biharmonic equation with supercritical nonlinearity

Zongming Guo, Juncheng Wei

• We study some qualitative properties of entire positive radial solutions of the supercritical semilinear biharmonic equation:

  in It is known from a paper by Gazzola and Grunau that there is a critical value of for and that has a singular solution . We show that for or and , any regular positive radial entire solution of intersects with infinitely many times. On the other hand, if and , then for all . Moreover, the solutions are strictly ordered with respect to the initial value .