Abstract

We consider the following fractional [Formula: see text]-Laplacian logarithmic Schrödinger equation: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is the fractional [Formula: see text]-Laplacian operator, [Formula: see text] is a continuous potential satisfying a local condition. By applying suitable variational arguments, we analyze the existence and concentration of solutions as [Formula: see text] for the above problem.

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