Ricerc@Sapienza

The hopping rover is a promising solution for small celestial body surface mobility. How to predict its locomotion
and landing area is challenging when considering the complex dynamical environment and rough terrain. In this

In this work we study the existence of nodal solutions for the problem -Δu=λueu2+|u|pinΩ,u=0on∂Ω,where Ω ⊆ R2 is a bounded smooth domain and p→ 1 +. If Ω is a ball, it is known that the case p= 1 defines a critical threshold between the existence and the non-existence of radially symmetric sign-changing solutions. In this work we construct a blowing-up family of nodal solutions to such problem as p→ 1 +, when Ω is an arbitrary domain and λ is small enough.

Cycles of dissolved oxygen perturbation can affect emerging contaminants removal. The nitrification process can also be enhanced by oxygen perturbations. Perturbation frequency is a sensitive parameter