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,...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Wu Zijian
Chen Haibo
Dokumentumtípus: Folyóirat
Megjelent: 2021
Sorozat: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
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:16
ISSN:1417-3875