Let Omega be a bounded domain with a smooth C-2 boundary in R-N = R-k x RN-k (N >= 3), 0 is an element of partial derivative Omega, and v denotes the unit outward normal vector to boundary as partial derivative Omega. We are concerned with the Neumann boundary problem: -Delta u-mu(vertical bar y vertical bar 2)/(u) = (vertical bar y vertical bar t)/(vertical bar u vertical bar Pt-1u) + f(x,u), u > 0, x is an element of Omega, partial derivative v/partial derivative u + alpha(x)u = 0, x is an element of partial derivative Omega \ {0}. Using the Mountain Pass Lemma without (PS) condition and the...
