Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type

DOI10.1515/ANONA-2015-0052zbMath1357.35145OpenAlexW2548347388MaRDI QIDQ350304

Nihed Trabelsi, Maryem Trabelsi

Publication date: 7 December 2016

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2015-0052

zbMATH Keywords

Liouville type systemnonlinear domain decomposition methodsingular limit solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Boundary value problems for higher-order elliptic systems (35J58)

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Cites Work

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• Singular limits for 4-dimensional semilinear elliptic problems with exponential nonlinearity adding a singular source term given by Dirac masses.
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• Construction of singular limits for a semilinear elliptic equation in dimension 2
• Conformally invariant systems of nonlinear PDE of Liouville type
• Singular limits in Liouville-type equations
• SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA
• Une remarque sur le comportement asymptotique des solutions de -Δu=λƒ(u)
• Blowup Solutions for a Liouville Equation with Singular Data
• Singular limit solutions for two-dimensional elliptic problems with exponentially dominated nonlinearity

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