A Primer on Semiconvex Functions in General Potential Theories, 9783031943393
Paperback
Semicontinuity, differentiability, and potential theories converge: a deep analytical dive.

A Primer on Semiconvex Functions in General Potential Theories

$173.99

  • Paperback

    141 pages

  • Release Date

    7 August 2025

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Summary

Unveiling Semiconvex Functions: A Journey Through Potential Theories and Nonlinear PDEs

This book delves into the fascinating relationship between fully nonlinear elliptic partial differential equations and general potential theories of second order. It begins with a comprehensive and accessible introduction to the classical theory of first and second-order differentiability for convex functions, then builds upon this foundation to explore how to handle second-order differentiabilit…

Book Details

ISBN-13:9783031943393
ISBN-10:3031943392
Series:Lecture Notes in Mathematics
Author:Kevin R. Payne, Davide Francesco Redaelli
Publisher:Springer International Publishing AG
Imprint:Springer International Publishing AG
Format:Paperback
Number of Pages:141
Release Date:7 August 2025
Weight:0g
Dimensions:235mm x 155mm
About The Author

Kevin R. Payne

Kevin R. Payne is a full professor of mathematical analysis at the Università di Milano and a Fellow of the American Mathematical Society. He received a BA in Mathematics at Rice University and a PhD in Mathematics at Stony Brook University. He is the author of the book Comparison Principles for General Potential Theories and PDEs (Annals of Mathematics Studies 218, Princeton University Press) with Marco Cirant, Reese Harvey and Blaine Lawson.

Davide Francesco Redaelli is a post-doc research associate in mathematics at the University of Rome Tor Vergata. He received a MSc in Mathematics at the University of Milan, under the supervision of Prof. Kevin R. Payne, and a PhD in Mathematics at the University of Padua, under the supervision of Prof. Marco Cirant. These Lecture Notes are an improved version of the main chapters of his Master’s Thesis.

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