TL;DR
This paper surveys quadratic Hessian equations, covering their definition, background, solution properties, regularity, estimates, and open problems in the field.
Contribution
It provides a comprehensive overview of quadratic Hessian equations, highlighting recent developments and open questions in the study of their solutions and properties.
Findings
Discussion of rigidity of entire solutions
Analysis of regularity of viscosity solutions
Presentation of a priori Hessian estimates
Abstract
We survey quadratic Hessian equations: definition, background, rigidity of entire solutions, regularity of viscosity solutions, a priori Hessian estimates, and open problems.
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Taxonomy
TopicsNonlinear Waves and Solitons · Experimental and Theoretical Physics Studies