On the Dirichlet problem for quasilinear elliptic equation with a small parameter (Q1087720)
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scientific article; zbMATH DE number 3987795
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Dirichlet problem for quasilinear elliptic equation with a small parameter |
scientific article; zbMATH DE number 3987795 |
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On the Dirichlet problem for quasilinear elliptic equation with a small parameter (English)
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1981
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We deal with the Dirichlet problem for a quasilinear elliptic equation with a small parameter at the highest derivatives. In case the characteristics of the degenerated equation are curvilinear and the domain, where the problem is defined, is a bounded convex domain we offer a method to construct the uniformly valid asymptotic solution of this problem, and prove that the solution of this problem really exists, and being uniquely determined as the small parameter is sufficiently small.
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Dirichlet problem
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quasilinear elliptic equation
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small parameter
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characteristics
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convex domain
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asymptotic solution
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