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- W2897093012 abstract "In this paper we consider the following class of fractional Kirchhoff equations with critical growth: (ε2sa+ε4s−3b∫R3|(−Δ)s2u|2dx)(−Δ)su+V(x)u=f(u)+|u|2s∗−2uin R3,u∈Hs(R3),u>0in R3, where ε>0 is a small parameter, a,b>0 are constants, s∈(34,1), 2s∗=63−2s is the fractional critical exponent, (−Δ )s is the fractional Laplacian operator, V is a positive continuous potential and f is a superlinear continuous function with subcritical growth. Using penalization techniques and variational methods, we prove the existence of a family of positive solutions uε which concentrates around a local minimum of V as ε→0." @default.
- W2897093012 created "2018-10-26" @default.
- W2897093012 creator A5082958607 @default.
- W2897093012 date "2020-02-04" @default.
- W2897093012 modified "2023-09-27" @default.
- W2897093012 title "Concentrating solutions for a fractional Kirchhoff equation with critical growth" @default.
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- W2897093012 doi "https://doi.org/10.3233/asy-191543" @default.
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