BOUNDEDNESS OF THE EXTREMAL SOLUTION FOR SEMILINEAR ELLIPTIC PROBLEMS
BOUNDEDNESS OF THE EXTREMAL SOLUTION FOR SEMILINEAR ELLIPTIC PROBLEMS
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DOI：
10.1142/s0219199702000701
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发表时间：
2002-08
影响因子：
1.6
通讯作者：
D. Ye;F. Zhou
中科院分区：
文献类型：
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作者：
D. Ye;F. Zhou
本文研究了一类半线性椭圆型方程-Δu=λf（u）在Dirichlet边界条件下的极值解的有界性.当N ≤ 9时，建立了f的一些充分条件，保证了极值解的正则性，这些条件涵盖了所有已知的情形.
We investigate here the boundedness of extremal solutions for some semilinear elliptic equation -Δu=λf(u) posed on a bounded smooth domain of ℝN with Dirichlet boundary condition. Some sufficient conditions for f are established to ensure the regularity of extremal solutions when N ≤ 9, which cover all well-known cases.