Necessary and sufficient conditions on solvability for Hessian inequalities
86 citations recorded by the source corpus.
In this paper, we discuss the solvability of the Hessian inequality σ 1/k k (λ(D 2 μ)) ≥ f(u) on the entire space ℝ n and provide a necessary and sufficient condition, which can be regarded as a generalized Keller-Osserman condition.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/fe8f8b507d2c5830d88038505840bd0cd2ded9d9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations (2018, background): “Our work improves and generalizes some recent work such as [3, 4, 6, 17, 21, 28].”
- Boundary behavior of large solutions to the Monge-Ampère equations with weights (2015, unknown): “1 in [23].”
- A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator (2020, result): “The conditions are easy to be checked, and the corresponding results improve and generalize some recent results such as those in [1, 2, 18, 25, 49].”