Existence of Solutions to Nonlinear Schr(o)dinger Equations Involving N-Laplacian and Potentials Van

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We study the existence of solutions for the following class of nonlinear Schr(o)dinger equa-tions?ΔNu+V (x)u=K(x)f(u) in RN where V and K are bounded and decaying potentials and the nonlinearity f (s) has exponential critical growth. The approaches used here are based on a version of the Trudinger–Moser inequality and a minimax theorem.
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