Nonconstant positive radial solutions for Neumann problem involving the mean extrinsic curvature operator

Nonconstant positive radial solutions for Neumann problem involving the mean extrinsic curvature operator
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涉及平均外曲率算子的诺伊曼问题的非常数正径向解

DOI:
10.1016/j.jmaa.2019.123728
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发表时间:
2020-04
期刊:
J. Math. Anal. Appl.
影响因子:
--
通讯作者:
Zhiqian He
Zhiqian He
中科院分区:
其他
文献类型:
--
作者:
Ruyun Ma;Man Xu;Zhiqian He

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Let B be the unit ball in R N with N≥ 2. Let f∈ C 1 ([0,∞), R), f (0)= 0, f (β)= β for some β∈(0,∞), f (s)< s for s∈(0, β), f (s)> s for s∈(β,∞) and f′(β)> λ k r, where λ k r is the k-th radial eigenvalue of− Δ+ I in the unit ball with Neumann boundary condition. We use the unilateral global bifurcation theorem to show the existence of nonconstant, positive radial solutions of the quasilinear Neumann problem− div (∇ u 1−|∇ u| 2)+ u= f (u) in B,∂ ν u= 0 on∂ B.
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