Dirichlet problem with indefinite nonlinearities

Dirichlet problem with indefinite nonlinearities
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DOI:
10.1007/s00526-003-0236-7
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发表时间:
2004-07
影响因子:
2.1
通讯作者:
Kung-Ching Chang;M. Jiang
Kung-Ching Chang;M. Jiang
中科院分区:
数学2区
文献类型:
--
作者:
Kung-Ching Chang;M. Jiang

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考虑有界区域上的非线性椭圆型方程,其Dirichlet边界条件为,g1(u)u和g2(u)u是正的,|u|> > 1.利用莫尔斯理论给出了超线性g1和g2的存在性结果.
We consider the following nonlinear elliptic equationin a bounded domainwith the Dirichlet boundary condition,and,g1(u)uandg2(u)uare positive for |u| > > 1. Some existence results are given for superlinearg1andg2via the Morse theory.