Estimates and uniqueness for boundary blow-up solutions of p-Laplace equations

Estimates and uniqueness for boundary blow-up solutions of p-Laplace equations
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发表时间:
2011
影响因子:
0.7
通讯作者:
M. Marras;G. Porru
M. Marras;G. Porru
中科院分区:
数学4区
文献类型:
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作者:
M. Marras;G. Porru

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在有界光滑区域Ω <$RN上研究了p-Laplace方程<$pu = f(u),p > 1的边界爆破解.在f(t)随t趋近无穷大而增长的适当条件下,我们得到了解u(x)随x趋近于<$Ω的一个估计,以及唯一性结果.
We investigate boundary blow-up solutions of the p-Laplace equation ∆pu = f(u), p > 1, in a bounded smooth domain Ω ⊂ RN . Under appropriate conditions on the growth of f(t) as t approaches infinity, we find an estimate of the solution u(x) as x approaches ∂Ω, and a uniqueness result.