SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA

DOI10.1142/S0219199711004282zbMath1231.35075OpenAlexW2021161275WikidataQ126197076 ScholiaQ126197076MaRDI QIDQ3094378

Nihed Trabelsi, Ines Ben Omrane, Taieb Ouni, Sami Baraket

Publication date: 24 October 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199711004282

zbMATH Keywords

Green's functionsingular limitsnonlinear domain decomposition method

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Cites Work

• Unnamed Item
• Counterexample to a conjecture of H. Hopf
• Construction of singular limits for a semilinear elliptic equation in dimension 2
• On the existence of blowing-up solutions for a mean field equation
• Singular limits in Liouville-type equations
• Construction of singular limits for four-dimensional elliptic problems with exponentially dominated nonlinearity
• Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity
• Blowing-up solutions to an anisotropic Emden-Fowler equation with a singular source
• On the Asymptotic Solution of a Partial Differential Equation with an Exponential Nonlinearity
• Blowup Solutions for a Liouville Equation with Singular Data
• Bubbling solutions for an anisotropic Emden-Fowler equation
• Singular limit solutions for two-dimensional elliptic problems with exponentially dominated nonlinearity

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