Bifurcation for a free boundary problem modeling tumor growth with inhibitors

This paper deals with a free boundary problem modeling tumor growth with inhibitors. This problem has a unique radially symmetric stationary solution with radius r=Rsr=Rs. The tumor aggressiveness is modeled by a positive tumor aggressiveness parameter μμ. It is shown that there exist a positive integer m∗∗∈Rm∗∗∈R and a sequence of μmμm, such that for eachμm(m>m∗∗)μm(m>m∗∗), symmetry-breaking solutions bifurcate from the radially symmetric stationary solutions.