Abstract
We study the following singularly perturbed nonlocal Schrödinger equation−ε2Δu+V(x)u=εμ−2[1|x|μ⁎F(u)]f(u)inR2, where V(x) is a continuous real function on R2, F(s) is the primitive of f(s), 0<μ<2 and ε is a positive parameter. Assuming that the nonlinearity f(s) has critical exponential growth in the sense of Trudinger–Moser, we establish the existence and concentration of solutions by variational methods.
Published Version
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