Multiple positive solutions for Schrödinger problems with concave and convex nonlinearities

Cao, Xiaofei and Xu, Junxiang: Multiple positive solutions for Schrödinger problems with concave and convex nonlinearities. Electronic journal of qualitative theory of differential equations 68. pp. 1-21. (2018)

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Abstract

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.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 68
Page Range: pp. 1-21
ISSN: 1417-3875
Uncontrolled Keywords: Nehari-sokaság, Nemlineáris integrálegyenlet, Schrödinger probléma
Additional Information: Bibliogr.: p. 19-21. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 07. 11:27
Last Modified: 2018. Nov. 07. 11:27
URI: http://acta.bibl.u-szeged.hu/id/eprint/55738

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