Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist

Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
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DOI:
10.1017/s0308210500001074
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发表时间:
2001-06
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
Shujie Li;K. Perera;Jiabao Su
Shujie Li;K. Perera;Jiabao Su
中科院分区:
其他
文献类型:
--
作者:
Shujie Li;K. Perera;Jiabao Su

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我们计算了半线性椭圆边值问题中的临界群,其中的非线性项可能在零点和无穷远处不具有渐近极限。作为应用,我们证明了几个新的存在性结果。
We compute critical groups in semilinear elliptic boundary-value problems in which the nonlinear term may fail to have asymptotic limits at zero and at infinity. As applications, we prove several new existence results.