A class of fourth-order elliptic equations with concave and convex nonlinearities in RN

Wu Zijian and Chen Haibo: A class of fourth-order elliptic equations with concave and convex nonlinearities in RN. (2021)

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Abstract

In this article, we study the multiplicity of solutions for a class of fourth-order elliptic equations with concave and convex nonlinearities in RN. Under the appropriate assumption, we prove that there are at least two solutions for the equation by Nehari manifold and Ekeland variational principle, one of which is the ground state solution.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 71
ISSN: 1417-3875
Number of Pages: 16
Language: English
DOI: 10.14232/ejqtde.2021.1.71
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 15-16. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 10:45
Last Modified: 2021. Nov. 11. 10:45
URI: http://acta.bibl.u-szeged.hu/id/eprint/73723

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