| 无界域上带限制的非线性椭圆特征问题的多解和变号解 |
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| 引用本文： | 金云娟.无界域上带限制的非线性椭圆特征问题的多解和变号解[J].丽水学院学报,2008,30(5):1-4. |
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| 作者姓名： | 金云娟 |
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| 作者单位： | 丽水学院,数理学院,浙江,丽水,323000 |
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| 基金项目： | 丽水学院校科研和教改项目 |
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| 摘 要： | 在径向对称的Sobolev空间中，利用约束变分方法，通过构造切伪梯度向量场，证明了无界区域上带限制的非线性椭圆特征问题正解、负解及变号解的存在性。
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| 关 键 词： | 无界域 限制 变号解 |
Multiple and Sign-changing Solutions for Nonlinear Elliptic Eigenvalue Problem with Constraint on Unbounded Domain |
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| Jin Yunjuan.Multiple and Sign-changing Solutions for Nonlinear Elliptic Eigenvalue Problem with Constraint on Unbounded Domain[J].Journal of Lishui University,2008,30(5):1-4. |
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| Authors: | Jin Yunjuan |
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| Institution: | Jin Yunjuan (College of Mathematics and Physics, Lishui University, Lishui Zhejiang 323000, China) |
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| Abstract: | In this paper,we prove the existence of positive,negative and sign-changing solutions for a nonlinear elliptic eigenvalue problem with constraint on unbounded domain by using variational methods with constraint and by constructing tangent pseudogradient vector field on radial symmetric Sobolev space. |
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| Keywords: | unbounded domain with constraint sign-changing solutions |
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