Multiple positive solutions for Schrödinger problems with concave and convex nonlinearities

In this paper, we consider the multiplicity of positive solutions for a class of Schrödinger equations involving concave-convex nonlinearities in the whole space. With the help of the Nehari manifold, Ekeland variational principle and the theory of Lagrange multipliers, we prove that the Schrödinger...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Cao Xiaofei
Xu Junxiang
Dokumentumtípus: Folyóirat
Megjelent: 2018
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Nehari-sokaság, Nemlineáris integrálegyenlet, Schrödinger probléma
Online Access:http://acta.bibl.u-szeged.hu/55738
Leíró adatok
Tartalmi kivonat:In this paper, we consider the multiplicity of positive solutions for a class of Schrödinger equations involving concave-convex nonlinearities in the whole space. With the help of the Nehari manifold, Ekeland variational principle and the theory of Lagrange multipliers, we prove that the Schrödinger equation has at least two positive solutions, one of which is a positive ground state solution.
Terjedelem/Fizikai jellemzők:1-21
ISSN:1417-3875