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We prove the existence of solution for a class of    p  (  x  )   ‐Laplacian equations where the nonlinearity has a critical growth. Here, we consider two cases: the first case involves the situation where the variable exponents are periodic functions. The second one involves the case where the variable exponents are nonperiodic perturbations.

Nonlinear perturbations of a p ( x ) ‐Laplacian equation with critical growth in R N