Multiplicity of \(k\)-convex solutions for a singular \(k\)-Hessian system

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Singular elliptic equations (35J75)

Cites Work

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Over-determined problems for \(k\)-Hessian equations in ring-shaped domains
Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
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Hessian measures. I
New results of coupled system of \(k\)-Hessian equations
The axisymmetric \(\sigma_k\)-Nirenberg problem
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On the Dirichlet problem for general augmented Hessian equations
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Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator
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Existence of \(k\)-convex solutions for the \(k\)-Hessian equation
Necessary and sufficient conditions on solvability for Hessian inequalities
SOLUTION OF THE DIRICHLET PROBLEM FOR SOME EQUATIONS OF MONGE-AMPÈRE TYPE
Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
On a power-type coupled system of k-Hessian equations
Origins of scaling relations in nonequilibrium growth
Existence results for the \(k\)-Hessian type system with the gradients via \(\mathbb{R}_+^n\)-monotone matrices

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