In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2014 ( 2014), p. 1-10
Abstract:
We study the following nonhomogeneous Kirchhoff equation: - ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + u = k ( x ) f ( u ) + h ( x ) , x ∈ R 3 , u ∈ H 1 ( R 3 ) , u 〉 0 , x ∈ R 3 , where f is asymptotically linear with respect to t at infinity. Under appropriate assumptions on k , f , and h , existence of two positive solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory.
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2014
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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