| THE BOUNDARY VALUE PROBLEMS FOR QUASILINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH A SMALL PARAMETER |
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| 作者姓名： | Jiang Furu |
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| 作者单位： | Fudan University |
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| 摘 要： | In this paper we deal with the general boundary value problems for quasilinear higherorder elliptic equations with a small parameter before higher derivatives.By using themethod of multiple scales,we have proved that if the solution of degenerated boundary valueproblem exists,then under certain assumptions as the small parameter is sufficiently small,the solution of the origional boundary value problem exists as well and it is unique in a certainfunction space.Besides,the asymptotic expansion of the solution has been constructed.
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| 收稿时间： | 1982/2/9 0:00:00 |
THE BOUNDARY VALUE PROBLEMS FOR QUASILINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH A SMALL PARAMETER |
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| Jiang Furu.THE BOUNDARY VALUE PROBLEMS FOR QUASILINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH A SMALL PARAMETER[J].Chinese Annals of Mathematics,Series B,1984,5(2):153-162. |
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| Authors: | Jiang Furu |
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| Institution: | Fudan University |
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| Abstract: | In this paper we deal with the general boundary value problems for quasilinear higher order elliptic equations with a small parameter before higher derivatives. By using the method of multiple scales, we have proved that if the solution of degenerated boundary value problem exists., then under certain assumptions as the small parameter is suffciently small,the solution of the origional boundary value problem exists as well and it is unique in a certain
function space. Besides, the asymptotic expansion of the solution has been constructed. |
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