Abstract
In this paper, Dirichlet problem for second order quasilinear elliptic equation with a small parameter at highest derivatives is studied. In case degenerate equation has no singular point and parameter ε is sufficiently small, the existence and uniqueness of solution are proved, and the uniformly valid asymptotic solution is derived on the entire domain.
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Fu-ru, J. On the uniformly valid asymptotic solution of non-linear Dirichlet problem. Appl Math Mech 3, 151–172 (1982). https://doi.org/10.1007/BF01877654
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DOI: https://doi.org/10.1007/BF01877654