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Solvability for nonlinear elliptic equation with boundary perturbation

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Abstract

The solvability of nonlinear elliptic equation with boundary perturbation is considered. The perturbed solution of original problem is obtained and the uniformly valid expansion of solution is proved.

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Supported by the National Natural Science Foundation of China (40676016, 10471039), National Key Project for Basic Research (2004CB418304), Key Project of the Chinese Academy of Sciences (KZCX3-SW-221) and in part by E-Institutes of Shanghai Municipal Education Commission (N.E03004).

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Mo, J., Zhang, W. & Chen, X. Solvability for nonlinear elliptic equation with boundary perturbation. Appl. Math.- J. Chin. Univ. 22, 421–424 (2007). https://doi.org/10.1007/s11766-007-0406-z

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  • DOI: https://doi.org/10.1007/s11766-007-0406-z

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