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The Nonlinear Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation

Mo Jia-Qi, Feng Wei, Xianfeng Chen

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Abstract

The nonlinear singularly perturbed problems for elliptic equations with boundary perturbation are considered.Under suitable conditions,by using the theory of differential inequalities the asymptotic behavior of solutions for the boundary value problems is studied.

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The nonlinear singularly perturbed problems for elliptic equations with boundary perturbation are considered.Under suitable conditions,by using the theory of differential inequalities the asymptotic behavior of solutions for the boundary value problems is studied.

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Available abstract

The nonlinear singularly perturbed problems for elliptic equations with boundary perturbation are considered.Under suitable conditions,by using the theory of differential inequalities the asymptotic behavior of solutions for the boundary value problems is studied.

Key concepts: Singular perturbation, Boundary value problem, Method of matched asymptotic expansions, Nonlinear system, Mathematics, Mathematical analysis, Perturbation (astronomy), Poincaré–Lindstedt method

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