Multiple Solutions For P-Harmonic Type Equations

In this paper, we establish the existence of multiple solutions for the following equation involving a p-harmonic operatorwhereΩ(?)R^N is a bounded open smooth domain, while the nonlinearity f has a (p-1)-sublinear growth at infinity. Using a three critical points theorem, we prove the existence of at least three distinct weak solutions in W₀^2,p(Ω) to this problem.