Consider the following quasilinear differential equation: (E) (\u'(t)\(p-2)u'(t))' + f(t,u(t)) = 0, a < t < b, p > 1, subject to one of the following boundary conditions: (BC1) u(a) = u(b) = 0, (BC2) u(a) = u'(b) = 0, (BC3) u'(a) = u(b) = 0. Under suitable conditions on f(t, u), We Obtain the nonexistence of solutions of (E) with respect to (BCi), i = 1, 2, 3.
