Infinitely many solutions for the prescribed boundary mean curvature problem in B^N

We consider the prescribed boundary mean curvature problem in B with the Euclidean metric (Figure Presented) where K(x) is positive and rotationally symmetric on S^N-1, 2^# = 2(N-1)/(N-2). We show that ifK(x) has a local maximum point, then this problem has infinitely many positive solutions that are not rotationally symmetric on S_N-1.