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| THE BOUNDARY VALUE PROBLEMS FOR QUASILINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH A SMALL PARAMETER |
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Citation： |
Jiang Furu.THE BOUNDARY VALUE PROBLEMS FOR QUASILINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH A SMALL PARAMETER[J].Chinese Annals of Mathematics B,1984,5(2):153~162 |
| Page view： 700
Net amount： 637 |
Authors： |
Jiang Furu; |
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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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