Exact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equation

DOI10.1007/S00229-021-01307-5zbMath1491.35193OpenAlexW3158971580MaRDI QIDQ2148097

Kazuhiro Takimoto

Publication date: 21 June 2022

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

Full work available at URL: https://doi.org/10.1007/s00229-021-01307-5

zbMATH Keywords

\(k\)-curvature equationsboundary blowup problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44) Monge-Ampère equations (35J96)

Related Items (1)

Higher order estimate near the boundary of a large solution to semilinear Poisson equation with double-power like nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the inequality \(\Delta u \geqq f (u)\)
• Blow-up rates of radially symmetric large solutions
• Boundary asymptotical behavior of large solutions to Hessian equations
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• Boundary blow-up problems for Hessian equations
• Asymptotic behavior of solutions of boundary blow-up problems
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• The Dirichlet problem for the prescribed curvature quotient equations
• The boundary blow-up rate of large solutions.
• Discrete minimisers are close to continuum minimisers for the interaction energy
• Boundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearity
• The Monge-Ampère equation with infinite boundary value
• On singular boundary value problems for the Monge-Ampère operator
• Uniqueness of boundary blowup solutions to \(k\)-curvature equation
• On the blow-up boundary solutions of the Monge-Ampére equation with singular weights
• Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation
• Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation
• The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation
• On the Monge-Ampère equation with boundary blow-up: existence, uniqueness and asymptotics
• Optimal uniqueness theorems and exact blow-up rates of large solutions
• Solution to the boundary blowup problem for \(k\)-curvature equation
• The Dirichlet problem for the prescribed curvature equations
• On solutions of δu=f(u)
• Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
• On the existence of large solutions for equations of prescribed mean curvature
• On a problem of Bieberbach and Rademacher
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness
• Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights
• Blow-up boundary solutions of semilinear elliptic problems

This page was built for publication: Exact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equation