Exact principal blowup rate near the boundary of boundary blowup solutions to k-curvature equation

Exact principal blowup rate near the boundary of boundary blowup solutions to k-curvature equation
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DOI:
10.1007/s00229-021-01307-5
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发表时间:
2021-05
影响因子:
0.6
通讯作者:
Kazuhiro Takimoto
Kazuhiro Takimoto
中科院分区:
数学4区
文献类型:
--
作者:
Kazuhiro Takimoto

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考虑有界光滑区域上的边界爆破问题,其中f(s)和g(t)具有相似的性质。在某些条件下,我们得到了解在边界附近的精确的主爆破率。
We consider boundary blowup problems fork-curvature equations of the formin a bounded smooth domain, wheref(s) behaves likeasandg(t) behaves likeas. We obtain the exact principal blowup rate of a solutionunear the boundaryunder some conditions.