Boundary behaviour for solutions of elliptic singular equations with a gradient term

DOI10.1016/j.na.2007.11.011zbMath1156.35377OpenAlexW2075072638MaRDI QIDQ960216

Ester Giarrusso, Giovanni Porru, Fabrizio Cuccu

Publication date: 16 December 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.11.011

zbMATH Keywords

boundary behavioursecond-order estimatenonlinear elliptic singular equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (13)

Asymptotic behavior up to the second order term of solutions to quasilinear elliptic singular problems ⋮ Existence and regularity of nonnegative solution of a singular quasi-linear anisotropic elliptic boundary value problem with gradient terms ⋮ Large solutions for quasilinear elliptic equation with nonlinear gradient term ⋮ The boundary behavior of the unique solution to a singular Dirichlet problem ⋮ The exact boundary behavior of solutions to singular nonlinear Lane-Emden-Fowler type boundary value problems ⋮ On Monge-Ampère equations with nonlinear gradient terms -- infinite boundary value problems ⋮ The second expansion of the unique vanishing at infinity solution to a singular elliptic equation ⋮ The second expansion of the solution for a singular elliptic boundary value problem ⋮ The exact boundary behavior of the unique solution to a singular Dirichlet problem with a nonlinear convection term ⋮ Boundary behavior for the solutions to Dirichlet problems involving the infinity-Laplacian ⋮ Boundary behaviour of the unique solution to a singular Dirichlet problem with a convection term ⋮ Optimal global asymptotic behaviour of the solution to a class of singular Dirichlet problems ⋮ Asymptotic behavior for the unique positive solution to a singular elliptic problem

Cites Work

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• Lane-Emden-Fowler equations with convection and singular potential
• Some singular, nonlinear differential equations arising in boundary layer theory
• Asymptotic behavior of solutions of boundary blow-up problems
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems.
• Problems for elliptic singular equations with a quadratic gradient term
• Problems for elliptic singular equations with a gradient term
• On a Singular Nonlinear Dirichlet Problem with a Convection Term
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• On a dirichlet problem with a singular nonlinearity
• Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term

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