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BIFURCATION RESULTS FOR PROBLEMS WITH FRACTIONAL TRUDINGER-MOSER NONLINEARITY.

Authors :
Perera, Kanishka
Squassina, Marco
Source :
Discrete & Continuous Dynamical Systems - Series S; Jun2018, Vol. 11 Issue 3, p561-N.PAG, 16p
Publication Year :
2018

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 in-volving the nonlinear fractional laplacian and a related critical exponential nonlinearity. This extends the literature for the N-Laplacian operator. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19371632
Volume :
11
Issue :
3
Database :
Complementary Index
Journal :
Discrete & Continuous Dynamical Systems - Series S
Publication Type :
Academic Journal
Accession number :
126263299
Full Text :
https://doi.org/10.3934/dcdss.2018031