Abstract
Consider the following quasilinear differential equation: (¦u′(t)¦ p−2 u′(t))′ + f(t, u(t)) = 0, a < t < b, p > 1, (E) subject to one of the following boundary conditions: u( a) = u( b) = 0, (BC 1) u( a) = u′( b) = 0, (BC 2) u′( a) = u( b) = 0. (BC 3) Under suitable conditions on f( t, u), we obtain the nonexistence of solutions of (E) with respect to ( BC i ), i = 1, 2, 3.
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