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- W2791320199 abstract "In this paper, we study the existence and concentration behavior of positive solutions for the following Kirchhoff type equation: urn:x-wiley:mma:media:mma4798:mma4798-math-0001 where ɛ is a positive parameter, a and b are positive constants, and 3< p <5. Let denotes the ground energy function associated with , , where is regard as a parameter. Suppose that the potential V ( x ) decays to zero at infinity like | x | − α with 0< α ≤2, we prove the existence of positive solutions u ɛ belonging to for vanishing or unbounded K ( x ) when ɛ > 0 small. Furthermore, we show that the solution u ɛ concentrates at the minimum points of as ɛ →0 + ." @default.
- W2791320199 created "2018-03-29" @default.
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- W2791320199 date "2018-02-14" @default.
- W2791320199 modified "2023-10-16" @default.
- W2791320199 title "Existence and concentration of bound states for a Kirchhoff type problem with potentials vanishing or unbounded at infinity" @default.
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- W2791320199 doi "https://doi.org/10.1002/mma.4798" @default.
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