Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations

In this paper, we consider the multiplicity of nontrivial solutions for a class of nonperiodic fourth-order equation with concave and convex nonlinearities. Based on the Nehari manifold and Ekeland variational principle, we prove that the equation has at least two solutions under some proper assump...

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Bibliographic Details
Main Authors: Ruiting Jiang, Chengbo Zhai
Format: Article
Language:English
Published: University of Szeged 2018-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6082