Boundary behavior for large solutions to elliptic equations with singular weights

DOI10.1016/j.na.2006.06.041zbMath1143.35054OpenAlexW2035022075MaRDI QIDQ881615

Jorge García-Melián

Publication date: 30 May 2007

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.2006.06.041

zbMATH Keywords

boundary behaviorelliptic boundary value problemslarge solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (35)

Blow-up rates and uniqueness of entire large solutions to a semilinear elliptic equation with nonlinear convection term ⋮ The exact asymptotic behavior of blow-up solutions to a highly degenerate elliptic problem ⋮ Asymptotic behavior of boundary blow-up solutions to elliptic equations ⋮ Asymptotic behavior of entire large solutions to semilinear elliptic equations ⋮ The behavior of solutions of nonlinear degenerate parabolic equations in nonregular domains and removability of singularity on boundary ⋮ Boundary behavior of large solutions to \(p\)-Laplacian elliptic equations ⋮ Blow-up rate of the unique solution for a class of one-dimensional equations with a weakly superlinear nonlinearity ⋮ Boundary behavior of large solutions to elliptic equations with nonlinear gradient terms ⋮ Blow-up rate of the unique solution for a class of one-dimensional \(p\)-Laplacian equations ⋮ The existence and blow-up rate of large solutions of one-dimensional \(p\)-Laplacian equations ⋮ The first and second expansion of large solutions for quasilinear elliptic equations with weight functions ⋮ Asymptotic boundary estimates to infinity Laplace equations with \(\Gamma\)-varying nonlinearity ⋮ Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights ⋮ Large solution to nonlinear elliptic equation with nonlinear gradient terms ⋮ Asymptotic estimates of boundary blow-up solutions to the infinity Laplace equations ⋮ Keller-Osserman type conditions for some elliptic problems with gradient terms ⋮ Boundary behavior of solutions to some singular elliptic boundary value problems ⋮ The second expansion of large solutions for semilinear elliptic equations ⋮ Boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms ⋮ Blow-up rates of large solutions for elliptic equations ⋮ Existence and uniqueness of nonnegative solutions for a boundary blow-up problem ⋮ Asymptotic behavior of large solutions to \(p\)-Laplacian of Bieberbach-Rademacher type ⋮ Boundary behavior of large solutions for semilinear elliptic equations with weights ⋮ Existence and estimate of large solutions for an elliptic system ⋮ Blow-up rates of radially symmetric large solutions ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term ⋮ Two classes of nonlinear singular Dirichlet problems with natural growth: existence and asymptotic behavior ⋮ Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation ⋮ Asymptotic behavior of large solution to elliptic equation of Bieberbach-Rademacher type with convection terms ⋮ Boundary behaviour of explosive solution to quasilinear elliptic problems with nonlinear gradient terms ⋮ Existence and boundary blow-up rates of solutions for boundary blow-up elliptic systems ⋮ Uniqueness of positive solutions for a boundary blow-up problem ⋮ Asymptotic behavior of large solution for boundary blowup problems with non-linear gradient terms ⋮ Boundary behavior of large solutions to the Monge-Ampère equations with weights ⋮ Isolated singularity for semilinear elliptic equations

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