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In this paper, we study the solvability of the nonlinear Dirichlet problemwith sum of the operators of independent non standard growths in a boundeddomain $\Omega \subset \mathbb{R}^{n}$. We obtain sufficient conditions andshow the existence of weak solutions of the considered problem by usingmonotonicity and compactness methods together.

Solvability of Nonlinear Elliptic Type Equation With Two Unrelated Non standard Growths