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

Jiang, Ruiting and Zhai, Chengbo: Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations. Electronic journal of qualitative theory of differential equations 30. pp. 1-14. (2018)

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Abstract

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 assumptions. Moreover, one solution is a ground state solution.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 30
Page Range: pp. 1-14
ISSN: 1417-3875
Uncontrolled Keywords: Differenciálegyenlet - negyedrendű
Additional Information: Bibliogr.: p. 12-14. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 06. 13:33
Last Modified: 2018. Nov. 06. 13:33
URI: http://acta.bibl.u-szeged.hu/id/eprint/55700

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