Singular Limit Solutions for a 4-dimensional Semilinear Elliptic System of Liouville Type

Sami Baraket; Imen Bazarbacha; Rima Chetouane; Abdellatif Messaoudi

doi:10.11650/tjm/191201

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Home > Journals > Taiwanese J. Math. > Volume 24 > Issue 4 > Article

August, 2020 Singular Limit Solutions for a 4-dimensional Semilinear Elliptic System of Liouville Type

Sami Baraket, Imen Bazarbacha, Rima Chetouane, Abdellatif Messaoudi

Taiwanese J. Math. 24(4): 855-909 (August, 2020). DOI: 10.11650/tjm/191201

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Abstract

We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Navier boundary conditions. We use the nonlinear domain decomposition method and a Pohozaev type identity.

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Sami Baraket. Imen Bazarbacha. Rima Chetouane. Abdellatif Messaoudi. "Singular Limit Solutions for a 4-dimensional Semilinear Elliptic System of Liouville Type." Taiwanese J. Math. 24 (4) 855 - 909, August, 2020. https://doi.org/10.11650/tjm/191201

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Received: 2 April 2019; Revised: 4 November 2019; Accepted: 3 December 2019; Published: August, 2020

First available in Project Euclid: 19 December 2019

MathSciNet: MR4124550

Digital Object Identifier: 10.11650/tjm/191201

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Primary: 35J60 , 53C21 , 58J05

Keywords: Green's function , Liouville type system , nonlinear domain decomposition method , Pohozaev identity , singular limit solution

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Taiwanese J. Math.

Vol.24 • No. 4 • August, 2020

Mathematical Society of the Republic of China

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Sami Baraket, Imen Bazarbacha, Rima Chetouane, Abdellatif Messaoudi "Singular Limit Solutions for a 4-dimensional Semilinear Elliptic System of Liouville Type," Taiwanese Journal of Mathematics, Taiwanese J. Math. 24(4), 855-909, (August, 2020)

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