| 一类奇异摄动方程最小能量解的存在性 |
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| 引用本文： | 曾晶,李永青. 一类奇异摄动方程最小能量解的存在性[J]. 福建师范大学学报(自然科学版), 2009, 25(6) |
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| 作者姓名： | 曾晶 李永青 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建,福州,350108 |
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| 基金项目： | 福建省教育厅基金资助项目 |
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| 摘 要： | 考虑非线性奇异摄动方程-ε2Δu+u=f(u),u∈H10(Ω)最小能量解的存在性,这个解的存在性是在一个更弱的超二次条件下得到的,代替了通常超线性问题中使用的更强的Ambrosetti-Rabinwitz条件.
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| 关 键 词： | 奇异摄动 最小能量解 超二次条件 |
The Existence of a Least-energy Solution for a Singularly Perturbed Equation |
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| ZENG Jing,LI Yong-qing. The Existence of a Least-energy Solution for a Singularly Perturbed Equation[J]. Journal of Fujian Teachers University(Natural Science), 2009, 25(6) |
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| Authors: | ZENG Jing LI Yong-qing |
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| Affiliation: | ZENG Jing,LI Yong-qing(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China) |
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| Abstract: | The existence of a least-energy solution of a singularly perturbed nonlinear elliptic equation-ε~2 △u + u = f(u) ,u Σ H_0~1(Ω) is considered. Prove the main results under a more weaker super-quadratic condition, instead of the standard Ambrosetti-Rabinwitz condition , which is usually used in super-linear problems. |
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| Keywords: | singularly perturbed least-energy solution super-quadratic condition |
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