Singular Limits for 2-Dimensional Elliptic Problem with Exponentially Dominated Nonlinearity and a Quadratic Convection Term

Sami Baraket; Imen Bazarbacha; Saber Kharrati; Taieb Ouni

doi:10.2478/auom-2013-0002

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Singular Limits for 2-Dimensional Elliptic Problem with Exponentially Dominated Nonlinearity and a Quadratic Convection Term

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 1 (March 2013)

By: Sami Baraket, Imen Bazarbacha, Saber Kharrati and Taieb Ouni

Open Access

|Jul 2013

Abstract

We study existence of solutions with singular limits for a two-dimensional semilinear elliptic problem with exponential dominated nonlinearity and a quadratic convection non linear gradient term, imposing Dirichlet boundary condition. This paper extends previous results obtained in [1], [3], [4] and some references therein for related issues.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2013-0002 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 19 - 50

Published on: Jul 30, 2013

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

singular limits,

Green's function,

gradient term with quadratic growth,

nonlinear domain decomposition method

Related subjects:

Mathematics,

General mathematics

© 2013 Sami Baraket, Imen Bazarbacha, Saber Kharrati, Taieb Ouni, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.

Volume 21 (2013): Issue 1 (March 2013)