Structure of positive radial solutions of a quasilinear elliptic problem with singular nonlinearity

We study the structure of radial solutions of the quasilinear elliptic problem pu =. uq in B, 0 < u < 1 inB, u = 1 on. B, ( Q) where 1 < p = N ( N = 2), q > 0,. > 0 and B = {x. RN : | x| < 1}. It is seen that ( Q) admits a global continuum of radial solutions E = {(., u) : u. C[ 0, 1], 0 < u( r) < 1 for r. ( 0, 1)}. Moreover, there is qc := qc( p, N) > 0 such that E has infinitely many turning points for q > qc and E does not admit any turning point for 0 < q = q(c).