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In this paper, we apply two theorems from triple critical points theory to establish the existence of at least three solutions for the quasilinear second order differential equations on a compact interval[  a  ,  b  ]  ⊂  ℝ    $[a,b]\subset \mathbb {R}$   ,-   (   p  i   -  1  )|   u   i   '    (  x  )   |p  i   -  2u   i    '  '(  x  )   =  λ   F   u  i(  x  ,   u  1   ,  ⋯  ,   u  n   )    h  i    (  x  ,   u   i   '   )   ,x  ∈   (  a  ,  b  )   ,   u  i    (  a  )   =   u  i    (  b  )   =  0  ,$ {\left\lbrace \begin{array}{ll} -(p_{i}-1)|u_{i}^{\prime }(x)|^{p_{i}-2}u_{i}^{\prime \prime }(x)=\lambda F_{u_{i}}(x,u_{1},\dots ,u_{n})h_{i}(x,u_{i}^{\prime }), &amp;amp; x\in (a,b), u_{i}(a)=u_{i}(b)=0, \end{array}\right.} $    for1  ≤  i  ≤  n    $1\le i\le n$   , under appropriate hypotheses. The obtained results extend some existing results on the subject.

Multiple solutions for a Dirichlet quasilinear system containing a parameter