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Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity.
- Source :
-
Journal of Mathematical Analysis & Applications . Apr2017, Vol. 448 Issue 1, p60-80. 21p. - Publication Year :
- 2017
-
Abstract
- In this paper, we discuss the existence and the concentration of sign-changing solutions to a class of Kirchhoff-type systems with Hartree-type nonlinearity in R 3 . By the minimization argument on the sign-changing Nehari manifold and a quantitative deformation lemma, we prove that the system has a sign-changing solution. Moreover, concentration behaviors of sign-changing solutions are obtained when the coefficient of the potential function tends to infinity. Specially, our results cover general Schrödinger equations, Kirchhoff equations and Schrödinger–Poisson systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 448
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 120050431
- Full Text :
- https://doi.org/10.1016/j.jmaa.2016.10.069