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arXiv · 1704.00128

Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

Kanishka Perera·Marco Squassina
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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.

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Kanishka Perera, Marco Squassina. 2017-04-01. Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. https://arxiv.org/abs/1704.00128

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