2 papers
math.AP2021
On the generalized parabolic Hardy-Hénon equation: Existence, blow-up, self-similarity and large-time asymptotic behaviour
Gael Diebou Yomgne
This paper deals with the Cauchy problem for the Hardy-Hénon equation (and its fractional analogue). Local well-posedness for initial data in the class of continuous functions with…
math.AP2021
On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half space
Gael Diebou Yomgne
We consider in this paper the nonlinear elliptic equation with Neumann boundary condition \begin{align*} \begin{cases} Δu=a|u|^{m-1}u\,\,\mbox{ in }\,\,\rnp\\ \dfrac{\partial u}{\p…