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- W2783997552 abstract "In this paper, we first prove the uniqueness of positive ground state solution for the following Kirchhoff equation in R 3 with constant coefficients { − ( a + b ∫ R 3 | ∇ u | 2 ) Δ u + c u = d | u | p − 1 u in R 3 , u > 0 , u ∈ H 1 ( R 3 ) , where a , b , c , d > 0 are positive constants, 3 < p < 5 . Then we use the uniqueness result to obtain the existence and concentration theorems of positive ground state solutions to the following Kirchhoff equation with competing potential functions − ( ε 2 a + ε b ∫ R 3 | ∇ u | 2 ) Δ u + V ( x ) u = K ( x ) | u | p − 1 u in R 3 , for a sufficiently small positive parameter ε ." @default.
- W2783997552 created "2018-01-26" @default.
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- W2783997552 date "2018-05-01" @default.
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- W2783997552 title "Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>" @default.
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- W2783997552 doi "https://doi.org/10.1016/j.jmaa.2018.01.003" @default.
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