Existence of radially symmetric patterns for a diffusion problem with variable diffusivity
Maicon Sônego · Electronic journal of qualitative theory of differential equations · 2017
We give a sufficient condition for the existence of radially symmetric stable stationary solution of the problem $u_t=\operatorname{div}(a^2 abla u)+f(u)$ on the unit ball whose border is supplied with zero Neumann boundary condition. Such a condition involves the diffusivity function $a$ and the technique used here is inspired by the work of E. Yanagida.