A quantitative study of radial symmetry for solutions to semilinear equations in ${\mathbb{R}}^n$

Giulio Ciraolo, Matteo Cozzi, Michele Gatti

A celebrated result by Gidas, Ni & Nirenberg asserts that positive classical solutions, decaying at infinity, to semilinear equations $\Delta u+f(u)=0$ in ${\mathbb{R}}^n$ must be radial…