Smoothness of radial solutions to Monge-Ampere equations
Cristian Rios (1), Eric Sawyer (2) ((1) University of Calgary, (2), McMaster University)
TL;DR
This paper investigates the conditions under which radial weak solutions to Monge-Ampere equations are smooth, extending previous results to generalized equations and cases with vanishing right-hand sides.
Contribution
It provides a comprehensive characterization of smoothness for radial solutions, including new cases with generalized equations and infinitely vanishing right sides.
Findings
Characterized smoothness conditions for radial solutions.
Extended results to generalized Monge-Ampere equations.
Analyzed cases with infinitely vanishing right-hand side.
Abstract
We characterize when radial weak solutions to Monge-Ampere equations are smooth. This paper extends previous partial results and also covers Generalized Monge-Ampere equations and infinitely vanishing right hand side.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory