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ZHU Zhen-bo, NI Ming-kang. Dirichlet problem of semi linear singular perturbation elliptic equations(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 72-77,8.
Citation:
ZHU Zhen-bo, NI Ming-kang. Dirichlet problem of semi linear singular perturbation elliptic equations(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 72-77,8.
ZHU Zhen-bo, NI Ming-kang. Dirichlet problem of semi linear singular perturbation elliptic equations(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 72-77,8.
Citation:
ZHU Zhen-bo, NI Ming-kang. Dirichlet problem of semi linear singular perturbation elliptic equations(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 72-77,8.
Using transformation of coordinates of M.Vishik and L.Lyusternik, the method of boundary function was used to construct the uniformly valid asymptotic solutions of the Dirichlet problem of semi-linear singular perturbation elliptic equations.Under the uniformly valid asymptotic solutions obtained,the upper and lower solutions were constructed which satisfied the condition of Amann and guranteed the existence of the solution.Finally,the reminder estimation was made.
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