| 一类非线性椭圆型方程边值问题的近似解 |
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| 引用本文： | 郭少穆.一类非线性椭圆型方程边值问题的近似解[J].华中科技大学学报(自然科学版),1987(Z3). |
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| 作者姓名： | 郭少穆 |
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| 作者单位： | 华中工学院数学系 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文主要讨论一类非线性椭圆型方程边值问题在Galerkin投影近似下,其近似解的存在性,并证明了其一致有界的近似解序列在集合收敛意义下,也收敛于它的有界解。
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| 关 键 词： | 变分法 广义解 双线性 变分问题 函数空间的梯度 能量泛函 非平凡解 |
Approximate Solution for a Class of Boundary Value Problems with Nonlinear Elliptic Equation |
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| Guo Shaoniu.Approximate Solution for a Class of Boundary Value Problems with Nonlinear Elliptic Equation[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1987(Z3). |
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| Authors: | Guo Shaoniu |
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| Institution: | Guo Shaoniu |
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| Abstract: | Some problems in mathematical physics can be considered variational ones, for example, a(u, v) =b(u, v), in which u, v are the elements in Hilbert space. The boundary value problem with nonlinear elliptic equation is discussed and the existence and convergence of Galerkin's solution are proved by calculus of variations. |
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| Keywords: | Variational method Generalized solution Bilinear Variational problems Gradient in function space Energy functional Nontrivial solution |
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