Massimiliano Ferrara, Luca Guerrini, Binlin Zhang
Abstract:
In article we consider problems modeled by the non-local
fractional Laplacian equation
where
is fixed,
is the fractional
Laplace operator,
are real parameters,
is an open bounded subset of
()
with Lipschitz boundary
and
are two suitable Caratheodory functions.
By using variational methods in an appropriate abstract framework
developed by Servadei and Valdinoci [17] we prove
the existence of at least three weak solutions for certain values
of the parameters.
Submitted October 21, 2013. Published November 26, 2013.
Math Subject Classifications: 49J35, 35A15, 35S15, 47G20, 45G05.
Key Words: Variational methods; integrodifferential operators;
fractional Laplacian.
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Massimiliano Ferrara University of Reggio Calabria and CRIOS University Bocconi of Milan Via dei Bianchi presso Palazzo Zani 89127 Reggio Calabria, Italy email: massimiliano.ferrara@unirc.it | |
Luca Guerrini Department of Management University Polytecnic of Marche Pizza Martelli 8, 60121 Ancona, Italy email: luca.guerrini@univpm.it | |
Binlin Zhang MEDAlics Research Center, University Dante Alighieri Via del Torrione, 89125 Reggio Calabria, Italy. Department of Mathematics, Heilongjiang Institute of Technology 150050 Harbin, China email: zhbinlin@gmail.com |
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