Singular limits for 2-dimensional elliptic problem involving exponential nonlinearity with nonlinear gradient term

DOI10.1007/s00030-010-0084-zzbMath1209.35039OpenAlexW2059428258MaRDI QIDQ628702

Taieb Ouni, Ines Ben Omrane, Sami Baraket

Publication date: 14 March 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-010-0084-z

zbMATH Keywords

Green's functionsingular limitsnonlinear domain decomposition method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Elliptic equations on manifolds, general theory (58J05) Weak solutions to PDEs (35D30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Positive solutions to PDEs (35B09)

Related Items

Singular limits solution for two-dimensional elliptic problems involving exponential nonlinearities with nonlinear gradient terms and singular weights ⋮ SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEMS INVOLVING EXPONENTIAL NONLINEARITIES WITH SUB-QUADRATIC CONVECTION TERM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the inequality \(\Delta u \geqq f (u)\)
• Counterexample to a conjecture of H. Hopf
• On the existence of explosive solutions for semilinear elliptic problems
• Construction of singular limits for a semilinear elliptic equation in dimension 2
• Asymptotic estimates and convexity of large solutions to semilinear elliptic equations
• On the existence of blowing-up solutions for a mean field equation
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• Singular limits in Liouville-type equations
• 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
• SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA
• On the Asymptotic Solution of a Partial Differential Equation with an Exponential Nonlinearity
• On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
• Asymptotic behaviour of large solutions of an elliptic quasilinear equation in a borderline case
• On Chern-Simons Vortex Theory
• Bubbling solutions for an anisotropic Emden-Fowler equation
• A generalized two dimensional Emden-Fowler equation with exponential nonlinearity