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
复制标题
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
复制
发表时间:
2020-04
期刊:
影响因子:
--
通讯作者:
Zhiqian He
中科院分区:
文献类型:
--
作者:
Ruyun Ma;Man Xu;Zhiqian He
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.
登录
查看更多内容
影响因子:
3.1
作者:
Andrejs E. Treibergs
通讯作者:
Andrejs E. Treibergs
DOI:
10.1007/978-3-319-04214-5_5
发表时间:
2014
期刊:
--
影响因子:
--
作者:
C. Bereanu;P. Jebelean;J. Mawhin
通讯作者:
C. Bereanu;P. Jebelean;J. Mawhin
影响因子:
4.9
作者:
Shiu-yuen Cheng;S. Yau
通讯作者:
Shiu-yuen Cheng;S. Yau
影响因子:
1
作者:
C. Bereanu;P. Jebelean;J. Mawhin
通讯作者:
C. Bereanu;P. Jebelean;J. Mawhin
影响因子:
0.9
作者:
E. N. Dancer
通讯作者:
E. N. Dancer