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...
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Dokumentumtípus: | Folyóirat |
Megjelent: |
2018
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Sorozat: | Electronic journal of qualitative theory of differential equations
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Kulcsszavak: | Nehari-sokaság, Nemlineáris integrálegyenlet, Schrödinger probléma |
Online Access: | http://acta.bibl.u-szeged.hu/55738 |
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. |
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Terjedelem/Fizikai jellemzők: | 1-21 |
ISSN: | 1417-3875 |