Asymptotic behavior of positive solutions of a nonlinear Dirichlet problem

DOI10.1016/j.jmaa.2013.07.063zbMath1311.35088OpenAlexW2056482311MaRDI QIDQ2257763

Bilel Khamessi, Sonia Ben Othman

Publication date: 2 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.07.063

zbMATH Keywords

Dirichlet problemasymptotic behaviorpositive solutionsub and supersolutionsKaramata function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items

Asymptotic behaviour of ground state solutions of a non-linear dirichlet problem ⋮ Existence and global behavior of positive solution for semilinear problems with boundary blow-up

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic behavior of positive solutions of a semilinear Dirichlet problem
• Asymptotic behavior of positive solutions of a singular nonlinear Dirichlet problem
• Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems
• Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
• Positive solutions for a singular nonlinear problem on a bounded domain in \(\mathbb R^2\)
• Extremal singular solutions for degenerate logistic-type equations in anisotropic media
• On a class of sublinear singular elliptic problems with convection term
• The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation
• Combined effects in nonlinear singular elliptic problems in a bounded domain
• Nonlinear PDEs
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• Remarks on sublinear elliptic equations
• On a dirichlet problem with a singular nonlinearity
• Estimates on the Green Function and Existence of Positive Solutions of Nonlinear Singular Elliptic Equations
• Regularly varying functions
• On the solution of a singular nonlinear periodic boundary value problem
• Existence and estimates of solutions for singular nonlinear elliptic problems