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- W2915666430 abstract "We consider the multiplicity and concentration of solutions for the Kirchhoff Type Equation [ -varepsilon^2 Mbigg( varepsilon^{2-N}int_{mathbb{R}^N} |nabla v|^2dx bigg) Delta v+V(x)v=f(v), quad mathrm{in } mathbb{R}^N. ] Under suitable conditions on functions $M$, $V$ and $f$, we obtain the existence of positive solutions concentrating around the local maximum points of $V$, which gives an affirmative answer to the problem raised in cite{fij}. Moreover, we also obtain multiplicity of solutions which are affected by the topology of critical points set of potential $V$." @default.
- W2915666430 created "2019-03-02" @default.
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- W2915666430 date "2019-02-24" @default.
- W2915666430 modified "2023-10-18" @default.
- W2915666430 title "Multiplicity and concentration for Kirchhoff type equations around topologically critical points in potential" @default.
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- W2915666430 doi "https://doi.org/10.12775/tmna.2018.044" @default.
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