Infinitely many solutions for a fractional Kirchhoff type problem via Fountain Theorem

In this paper, we use the Fountain Theorem and the Dual Fountain Theorem to study the existence of infinitely many solutions for Kirchhoff type equations involving nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions. A model for these operators is given by the frac...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis 2015-06, Vol.120, p.299-313
Main Authors: Xiang, Mingqi, Zhang, Binlin, Guo, Xiuying
Format: Article
Language:English
Subjects:
Boundary conditions
Dirichlet problem
Mathematical analysis
Mathematical models
Nonlinearity
Operators
Texts
Theorems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we use the Fountain Theorem and the Dual Fountain Theorem to study the existence of infinitely many solutions for Kirchhoff type equations involving nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions. A model for these operators is given by the fractional Laplacian of Kirchhoff type: (ProQuest: Formulae and/or non-USASCII text omitted), where [Omega] is a smooth bounded domain of [dbl-struck R] super(N), (-[Delta]) super(s) is the fractional Laplacian operator with 0 < s < 1 and 2s < N, [lambda] is a real parameter, M is a continuous and positive function and [lambda] is a Caratheodory function satisfying the Ambrosetti-Rabinowitz type condition.
ISSN:0362-546X
DOI:10.1016/j.na.2015.03.015