Multiple Solutions to Elliptic Equations on R^N with Combined Nonlinearities

In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations ( P ) λ : - Δ u + V x u = λ Q x u q - 2 u + Q x f u , x ∈ R N ; u ( x ) → 0 , as x → + ∞ , where 1 < q < 2 , 0 < λ ∈ R , N ≥ 3 , V , and Q are radial positive functions,...

Full description

Saved in:
Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.509-518-354
Main Authors: Yang, Miaomiao, Li, Anran
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations ( P ) λ : - Δ u + V x u = λ Q x u q - 2 u + Q x f u , x ∈ R N ; u ( x ) → 0 , as x → + ∞ , where 1 < q < 2 , 0 < λ ∈ R , N ≥ 3 , V , and Q are radial positive functions, which can be vanishing or coercive at infinity, and f is asymptotically linear at infinity.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/284953