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On a Class of Nonlinear Elliptic Singular Perturbations Problems

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Abstract

In this note we study the asymptotic behavior of the solution of a singularly perturbed nonlinear Hammerstein elliptic problem in cylindrical domain. The limit problem is given and strong convergences in a pseudo Sobolev space are proved.

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  1. Académie de Grenoble, 38300, Grenoble, France

    Chokri Ogabi

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  1. Chokri Ogabi
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Correspondence to Chokri Ogabi.

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Dedicated to My Mother.

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Ogabi, C. On a Class of Nonlinear Elliptic Singular Perturbations Problems. Differ Equ Dyn Syst 29, 383–389 (2021). https://doi.org/10.1007/s12591-019-00473-z

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  • DOI: https://doi.org/10.1007/s12591-019-00473-z

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