Inserted: 1 apr 2017
Last Updated: 1 apr 2017
By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian and a related critical exponential nonlinearity. This extends results in the literature for the N-Laplacian operator.
Keywords: Exponential nonlinearity, Fractional Trudinger-Moser embedding