| 一个Quantitative形变引理及其应用 |
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| 引用本文： | 陈建清,李永青.一个Quantitative形变引理及其应用[J].福建师范大学学报(自然科学版),1999,15(3):6-10,25. |
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| 作者姓名： | 陈建清 李永青 |
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| 作者单位： | 福建师范大学数学系,福州,350007 |
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| 摘 要： | 给出一个关于弱紧性条件的形变引理，并利用该引理导出山路引理及其推广形式，进而应用于一个共振条件下的半线性同分方程问题。
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| 关 键 词： | 形变引理 弱紧性条件 临界点 |
A Variant of Quantitative Deformation Lemma and Its Applications |
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| Chen Jianqing,Li Yongqing.A Variant of Quantitative Deformation Lemma and Its Applications[J].Journal of Fujian Teachers University(Natural Science),1999,15(3):6-10,25. |
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| Authors: | Chen Jianqing Li Yongqing |
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| Abstract: | A variant of quantitative deformation lemma, which is independent of the weak (PS) condition, is given and proved.Then using this lemma, restructures the Mountain Pass theorem and its generalizations.Moreover,it is applied to a semilinear elliptic equation at resonance. |
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| Keywords: | deformation lemma (PS) condition critical point |
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