Multiple positive solutions for superlinear Kirchhoff type problems on R^N

Autor: Yu Duan, Chun-Lei Tang
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2015, Iss 316,, Pp 1-14 (2015)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article, we study the multiplicity of positive solutions for a class of Kirchhoff type problems depending on two real functions and a nonnegative parameter on an unbounded domain. Using the variational method and iterative techniques, we show that if the nonlinearity is subcritical and superlinear at zero and infinity, then the Kirchhoff type problems admits at least two positive solutions when the parameter is sufficiently small.
Databáze: Directory of Open Access Journals