Existence and boundary asymptotic behavior of large solutions of Hessian equations
Shanshan Ma, Dongsheng Li
TL;DR
This paper proves the existence of large solutions for Hessian equations and describes their boundary asymptotic behavior, advancing understanding of these nonlinear PDEs.
Contribution
It introduces new results on the existence and boundary behavior of large solutions for Hessian equations, which were previously not well-understood.
Findings
Existence of large solutions established
New boundary asymptotic behavior characterized
Advances theoretical understanding of Hessian equations
Abstract
In this paper, we establish the existence of large solutions of Hessian equations and obtain a new boundary asymptotic behavior of solutions.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Geometry and complex manifolds