Blow-up rates and uniqueness of entire large solutions to a semilinear elliptic equation with nonlinear convection term

DOI10.1186/s13661-018-1101-0zbMath1499.35269OpenAlexW2902258167WikidataQ128894924 ScholiaQ128894924MaRDI QIDQ2126506

Haitao Wan, Bo Li

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-1101-0

zbMATH Keywords

convection termblow-up ratesentire large solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary behavior of the unique solution to a singular Dirichlet problem
• Entire large solutions for semilinear elliptic equations
• Large solution to nonlinear elliptic equation with nonlinear gradient terms
• Boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms
• A convex-concave elliptic problem with a parameter on the boundary condition
• On the inequality \(\Delta u \geqq f (u)\)
• Boundary asymptotic and uniqueness of solutions to the \(p\)-Laplacian with infinite boundary values
• Remarks on uniqueness of boundary blow-up solutions
• Boundary behavior for large solutions to elliptic equations with singular weights
• Large solutions of elliptic equations with a weakly superlinear nonlinearity
• Asymptotic behavior of solutions of boundary blow-up problems
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• On the existence of explosive solutions for semilinear elliptic problems
• Elliptic partial differential equations of second order
• Large and entire large solutions for a class of nonlinear problems
• Entire large solutions to semilinear elliptic equations with rapidly or regularly varying nonlinearities
• Nonradial blow-up solutions of sublinear elliptic equations with gradient term
• Existence and nonexistence of entire solutions to the logistic differential equation
• Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
• Asymptotics for the blow-up boundary solution of the logistic equation with absorption.
• Existence and asymptotic behavior of blow-up solutions to weighted quasilinear equations
• Uniqueness and layer analysis for boundary blow up solutions
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations
• Large solutions of semilinear elliptic equations with nonlinear gradient terms
• Boundary behavior of large solutions to the Monge-Ampère equations with weights
• Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms
• Asymptotic behavior of entire large solutions to semilinear elliptic equations
• Optimal uniqueness theorems and exact blow-up rates of large solutions
• Existence and global behavior of positive solution for semilinear problems with boundary blow-up
• Boundary behavior of large solutions for semilinear elliptic equations with weights
• On solutions of δu=f(u)
• Boundary blow-up in nonlinear elliptic equations of Bieberbach–Rademacher type
• ON THE EQUATION Δu+k(x)e^u= 0
• On a problem of Bieberbach and Rademacher
• Nonradial Large Solutions of Sublinear Elliptic Equations
• Asymptotic behaviour of large solutions of an elliptic quasilinear equation in a borderline case
• Asymptotic behavior and uniqueness of entire large solutions to a quasilinear elliptic equation
• Necessary and sufficient conditions for existence of blow‐up solutions for elliptic problems in Orlicz–Sobolev spaces
• Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
• Regularly varying functions
• Blow-up boundary solutions of semilinear elliptic problems

This page was built for publication: Blow-up rates and uniqueness of entire large solutions to a semilinear elliptic equation with nonlinear convection term