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- W4328142795 abstract "In this paper, we consider the L2-norm prescribed minimizer of the mass critical Kirchhoff type energy functional with a weight function a(x),E(u)=∫RNa(x)|∇u|2dx+b2(∫RN|∇u|2dx)2−NN+4∫RN|u|2N+8Ndx,N=1,2,3. Making use of the Gagliardo–Nirenberg inequality, we firstly give the classification of existence and non-existence of minimizers. Then the mass concentration of minimizers as c↗c⁎:=(b‖Q‖28/N2)N8−2N is investigated, where Q>0 is the unique radially symmetric positive solution of 2ΔQ−(4N−1)Q+Q8N+1=0 in RN. It is surprise that the concentrating point of a minimizer is possibly determined by the weight function a(x). Finally, we analyze the local uniqueness of minimizers induced by concentration." @default.
- W4328142795 created "2023-03-22" @default.
- W4328142795 creator A5030429211 @default.
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- W4328142795 date "2023-08-01" @default.
- W4328142795 modified "2023-10-18" @default.
- W4328142795 title "Concentration and local uniqueness of minimizers for mass critical degenerate Kirchhoff energy functional" @default.
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- W4328142795 doi "https://doi.org/10.1016/j.jde.2023.03.023" @default.
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