| 含距离位势的拟线性椭圆方程解的存在性 |
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| 引用本文： | 陈志辉,沈尧天.含距离位势的拟线性椭圆方程解的存在性[J].数学学报,2008,51(3):469-474. |
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| 作者姓名： | 陈志辉 沈尧天 |
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| 作者单位： | 华南理工大学数学科学学院,华南理工大学数学科学学院 广州 510640,广州 510640 |
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| 摘 要： | 变分原理证明了一类含距离位势的拟线性椭圆方程齐次Dirichlet边界条件下第一特征值问题的可解性.进一步,利用临界点理论得到了一类含距离位势的非线性椭圆方程非平凡解的存在性.
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| 关 键 词： | 距离位势 Hardy不等式 临界点理论 |
| 收稿时间： | 2006-7-20 |
| 修稿时间： | 2007-4-2 |
The Existence of Solutions to a Quasilinear Elliptic Equation with Distance Potential |
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| Institution: | Zhi Hui CHEN Yao Tian SHEN School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,P.R.China |
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| Abstract: | Using the Ekeland variational principle,we prove the solvability of the first eigenvalue problem for a class of quasilinear elliptic equations including distance potential with homogeneous Dirichlet boundary condition.Furthermore,using critical point theory,we obtain the existence of a nontrivial solution to a class of quasilinear elliptic equations with distance potential. |
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| Keywords: | distance potential Hardy's inequality critical point theory |
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