Energy-minimal Principles in Geometric Function Theory
Tadeusz Iwaniec, Gaven Martin, and Jani Onninen
TL;DR
This paper surveys recent developments in geometric analysis related to the calculus of variations and extremal problems in geometric function theory, highlighting progress made since the late 1990s.
Contribution
It provides a comprehensive overview of recent advances in geometric function theory inspired by NZMRI lectures from 1998 and 2005.
Findings
Summarizes key recent results in geometric analysis
Connects variational principles with extremal problems
Highlights developments since late 1990s
Abstract
We survey a number of recent developments in geometric analysis as they pertain to the calculus of variations and extremal problems in geometric function theory following the NZMRI lectures given by the first author at those workshops in Napier in 1998 and 2005.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Mathematics and Applications · Algebraic and Geometric Analysis