Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
Analysis of PDEs
2017-04-04 v1
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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Cite
@article{arxiv.1704.00128,
title = {Bifurcation results for problems with fractional Trudinger-Moser nonlinearity},
author = {Kanishka Perera and Marco Squassina},
journal= {arXiv preprint arXiv:1704.00128},
year = {2017}
}
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16 pages