Existence and convexity of local solutions to degenerate hessian equations

Abstract

In this work, we prove the existence of local convex solution to the degenerate Hessian equation

arXiv commentcorrections some typos in this version

References in corpus (3)

• A Microscopic Convexity Principle for Nonlinear Partial Differential Equations
• A geometric characterisation of real C*-algebras
• Peeling Property of Bondi-Sachs metrics for nonzero Cosmological Constant