Massimiliano Ferrara, Luca Guerrini, Binlin Zhang
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  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.
Show me the PDF file (244 KB), TEX file, and other files for this article.
| Massimiliano Ferrara |
University of Reggio Calabria and CRIOS University Bocconi of Milan
Via dei Bianchi presso Palazzo Zani
89127 Reggio Calabria, Italy
| Luca Guerrini |
Department of Management
University Polytecnic of Marche
Pizza Martelli 8, 60121 Ancona, Italy
| 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
Return to the EJDE web page