\(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Second-order elliptic systems (35J47) Monge-Ampère equations (35J96)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball
Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source
Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior
Convex solutions of boundary value problem arising from Monge-Ampère equations
Existence of positive radial solutions for a semilinear elliptic system without variational structure
Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
On Lane-Emden type systems
The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
On symmetrization and Hessian equations
Hessian measures. I
The Dirichlet problem for Hessian equations on Riemannian manifolds
On the Dirichlet problem for Hessian equations
Boundary blow-up solutions and their applications in quasilinear elliptic equations
Global bifurcation problems associated with \(k\)-Hessian operators
Elliptic partial differential equations of second order
Positive radial solutions for multiparameter Dirichlet systems with mean curvature operator in Minkowski space and Lane-Emden type nonlinearities
Hessian measures. III
A priori estimates for a semilinear elliptic system without variational structure and their applications
Existence and asymptotic behavior of blow-up solutions to weighted quasilinear equations
Boundary blow-up solutions to elliptic systems of competitive type
Hessian measures. II
Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior
Quasilinear and Hessian Lane-Emden type systems with measure data
Existence of entire radial large solutions for a class of Monge-Ampère type equations and systems
Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space
Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type
On a singular \(k\)-Hessian equation
On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights
Optimal global asymptotic behavior of the solution to a singular Monge-Ampère equation
A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights
Nontrivial solutions for potential systems involving the mean curvature operator in Minkowski space
Asymptotic behavior and uniqueness results for boundary blow-up solutions.
The Yamabe problem for higher order curvatures
Positive radial solutions for systems with mean curvature operator in Minkowski space
The k-Hessian Equation
The dirichlet problem for a class of fully nonlinear elliptic equations
Weak solutions of hessian equations
A variational theory of the Hessian equation
Liouville-type theorems and existence results for stable solutions to weighted Lane–Emden equations
Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations
On a power-type coupled system of k-Hessian equations
Three radially symmetric k-admissible solutions for k-Hessian equation
On radial solutions for Monge–Ampère equations
Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights
Global structure of radial positive solutions for a prescribed mean curvature problem in a ball
On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups

This page was built for publication: \(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities