Affiliation:
1. Department of Applied Mathematics , National University of Kaohsiung , Kaohsiung , 811 , Taiwan
Abstract
Abstract
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the Nehari manifold changes as parameters μ, λ changes and show how existence, multiplicity and asymptotic results for positive solutions of the equation are linked to properties of the manifold.
Reference46 articles.
1. H. Amann and J. Lopez-Gomez, A priori bounds and multiple solutions for superlinear indefinite elliptic problems, J. Differential Equations 146, (1998), 336–374.
2. A. Azzollini, Concentration and compactness in nonlinear Schrödinger–Poisson system with a general nonlinearity, J. Differential Equations 249, (2010), 1746–1763.
3. C. O. Alves and A. B. Nobrega, Multi-bump solutions for Choquard equation with deepening potential well, Calc. Var. Partial Diff. Equ. (2016), 55:48.
4. A. Ambrosetti and D. Ruiz, Multiple bound states for the Schrödinger–Poisson problem, Commum. Contemp. Math. 10 (2008), 391–404.
5. P.A. Binding, P. Drabek, Y.X. Huang, On Neumann boundary value problems for some quasilinear elliptic equations, Electron. J. Differential Equations 5, (1997), 1–11.
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