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• W2509266855 abstract "We are concerned with the following Kirchhoff type equation: { − ( ε 2 a + ε b ∫ R 3 | ∇ u | 2 ) Δ u + V ( x ) u = f ( u ) in R 3 , u > 0 , u ∈ H 1 ( R 3 ) , where ε is a small positive parameter, a , b > 0 . Under general conditions on f due to Zhang et al. (2014) [37] , we construct a family of positive solutions u ε ∈ H 1 ( R 3 ) which concentrates around the local minima of V as ε → 0 . Our result completes the study made in Figueiredo et al. (2014) [10] in the sense that, only the subcritical growth was considered." @default.
• W2509266855 created "2016-09-16" @default.
• W2509266855 creator A5030766995 @default.
• W2509266855 date "2016-12-01" @default.
• W2509266855 modified "2023-09-29" @default.
• W2509266855 title "Concentrating bounded states for a class of singularly perturbed Kirchhoff type equations with a general nonlinearity" @default.
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• W2509266855 doi "https://doi.org/10.1016/j.jde.2016.08.034" @default.
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