Calculus of Variations and Geometric Measure Theory
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K. Perera - M. Squassina

Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

created by squassina on 01 Apr 2017

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Submitted Paper

Inserted: 1 apr 2017
Last Updated: 1 apr 2017

Year: 2017

Abstract:

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


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