Abstract In this article, we establish the existence of at least one
non-trivial classical solution for a class of elliptic equations involving a general operator in divergence form, subject to Dirichlet
boundary conditions in a smooth bounded domain in $\mathbb{R}^N$. A critical point result for differentiable functionals is discussed.
Our technical approach is based on variational methods. In addition, an example to illustrate our results is given. 
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