Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights

DOI10.1007/S00229-012-0567-9zbMath1268.35033OpenAlexW2093562516MaRDI QIDQ1949793

Yujuan Chen, Mingxin Wang, Peter Y. H. Pang

Publication date: 17 May 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0567-9

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09)

Related Items (5)

Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms ⋮ Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms ⋮ Existence and boundary behaviour of radial solutions for weighted elliptic systems with gradient terms ⋮ Coercive elliptic systems with gradient terms ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term

Cites Work

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• Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with lower order terms
• Large solutions for quasilinear elliptic equation with nonlinear gradient term
• Boundary blow-up rates of large solutions for elliptic equations with convection terms
• Boundary asymptotic and uniqueness of solutions to the \(p\)-Laplacian with infinite boundary values
• Boundary blow-up solutions for a class of elliptic equations on a bounded domain
• Boundary behavior for large solutions to elliptic equations with singular weights
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• The boundary blow-up rate of large solutions.
• Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
• Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
• Explosive solutions of elliptic equations with absorption and non-linear gradient term
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• Problems for elliptic singular equations with a gradient term
• Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
• Boundary blow-up solutions for elliptic equations with gradient terms and singular weights: existence, asymptotic behaviour and uniqueness
• EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS
• Boundary blow-up solutions for logistic-type porous media equations with nonregular source
• Boundary blow-up in nonlinear elliptic equations of Bieberbach–Rademacher type
• Boundary blow-up elliptic problems with nonlinear gradient terms and singular weights
• Elliptic Partial Differential Equations of Second Order
• Asymptotic behaviour of large solutions of an elliptic quasilinear equation in a borderline case
• Boundary blow-up of a logistic-type porous media equation in a multiply connected domain
• General uniqueness results and variation speed for blow-up solutions of elliptic equations

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