Boundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearity
From MaRDI portal
Publication:1748319
DOI10.1016/j.jmaa.2018.04.014zbMath1394.35058OpenAlexW2799912006MaRDI QIDQ1748319
Publication date: 9 May 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.014
Related Items (18)
Exact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equation ⋮ Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system ⋮ Existence and asymptotic behavior of strictly convex solutions for singular \(k\)-Hessian equations with nonlinear gradient terms ⋮ Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations ⋮ Higher order estimate near the boundary of a large solution to semilinear Poisson equation with double-power like nonlinearity ⋮ The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation ⋮ Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior ⋮ Second order boundary estimate of boundary blowup solutions to \(k\)-Hessian equation ⋮ On a singular \(k\)-Hessian equation ⋮ Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights ⋮ The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with the logarithmic nonlinearity and singular weights ⋮ Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates ⋮ Asymptotic boundary estimates for solutions to the \(p\)-Laplacian with infinite boundary values ⋮ Positive solutions to second-order singular nonlocal problems: existence and sharp conditions ⋮ On a power-type coupled system of k-Hessian equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\)
- Geometric plurisubharmonicity and convexity: an introduction
- Removable singularities for degenerate elliptic Pucci operators
- Existence and multiplicity for negative solutions of \(k\)-Hessian equations
- Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source
- On the inequality \(\Delta u \geqq f (u)\)
- Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
- Large solutions of elliptic equations with a weakly superlinear nonlinearity
- Existence and non-existence of solutions for a class of Monge-Ampère equations
- Boundary asymptotical behavior of large solutions to Hessian equations
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- 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
- Very large solutions for the fractional Laplacian: towards a fractional Keller-Osserman condition
- Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation
- The Monge-Ampère equation with infinite boundary value
- Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
- On singular boundary value problems for the Monge-Ampère operator
- Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with a weakly superlinear nonlinearity
- On the blow-up boundary solutions of the Monge-Ampére equation with singular weights
- Riesz capacity, maximum principle and removable sets of fully nonlinear second order elliptic operators.
- Boundary behavior of large solutions to the Monge-Ampère equations with weights
- A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights
- Some remarks on singular solutions of nonlinear elliptic equations. I
- \(C^{1,1}\) solution of the Dirichlet problem for degenerate \(k\)-Hessian equations
- Existence and estimates of solutions to a singular Dirichlet problem for the Monge-Ampère equation
- Solution to the boundary blowup problem for \(k\)-curvature equation
- Uniqueness theorems for negative radial solutions of \(k\)-Hessian equations in a ball
- On a real Monge-Ampère functional
- Removable singularities for nonlinear subequations
- Removable singularities for degenerate elliptic equations without conditions on the growth of the solution
- On solutions of δu=f(u)
- Necessary and sufficient conditions on solvability for Hessian inequalities
- On the existence of solutions to the Monge-Ampère equation with infinite boundary values
- Dirichlet duality and the nonlinear Dirichlet problem
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- The dirichlet problem for a class of fully nonlinear elliptic equations
- On an elliptic problem with boundary blow-up and a singular weight: the radial case
- Plurisubharmonicity in a General Geometric Context
- Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators
- Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
- Hessian equations with infinite Dirichlet boundary
- Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights
- Convexity and asymptotic estimates for large solutions of Hessian equations
- The Bieberbach-Rademacher problem for the Monge-Ampère operator
This page was built for publication: Boundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearity
