Positive solutions for the p-Laplacian: application of the fibrering method

Positive solutions for the p-Laplacian: application of the fibrering method
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DOI:
10.1017/s0308210500023787
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发表时间:
1997
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
P. Drábek;S. Pohozaev
P. Drábek;S. Pohozaev
中科院分区:
其他
文献类型:
--
作者:
P. Drábek;S. Pohozaev

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利用纤维化方法,证明了二阶拟线性问题的多个正解的存在性。我们的微分算子的主要部分是p-拉普拉斯算子,我们考虑有界域Ω∧∈N和整个∈N中的解。我们也证明了不存在的结果。
Using the fibrering method, we prove the existence of multiple positive solutions of quasilinear problems of second order. The main part of our differential operator is p-Laplacian and we consider solutions both in the bounded domain Ω⊂ℝN and in the whole of ℝN. We also prove nonexistence results.