Cao, Xiaofei and Xu, Junxiang: Multiple positive solutions for Schrödinger problems with concave and convex nonlinearities. (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: | Journal |
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| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 68 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-21 |
| 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: | 2020. Jul. 29. 12:29 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55738 |
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