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

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,...

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Bibliographic Details
Main Authors: Wu Zijian
Chen Haibo
Format: Serial
Published: 2021
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
doi:10.14232/ejqtde.2021.1.71

Online Access:http://acta.bibl.u-szeged.hu/73723
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Summary: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.
Physical Description:16
ISSN:1417-3875