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Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

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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… Click to show full 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 the literature for the \begin{document} $N$ \end{document} -Laplacian operator.

Keywords: bifurcation results; nonlinearity; moser; trudinger moser; problems fractional; results problems

Journal Title: Discrete and Continuous Dynamical Systems - Series S
Year Published: 2017

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