Multiple solutions for a class of fractional equations

Multiple solutions for a class of fractional equations

In this paper we study a class of fractional Laplace equations with asymptotically linear right-hand side. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method and Morse theory.

Bibliographic Details
Main Authors: Ruichang Pei, Jihui Zhang, Caochuan Ma
Format: Article
Language:English
Published: University of Szeged 2015-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
fractional laplacian
multiple solutions
asymptotically linear
mountain pass theorem
morse theory
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4415

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4415

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