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Princeton University Press Comparison Principles for General Potential Theories - AMS-218

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Description

This Princeton University Press volume explores the deep connections between fully nonlinear partial differential equations and generalised potential theories, offering rigorous mathematical foundations for advanced study. The book establishes comparison principles for nonlinear potential theories in Euclidean spaces using duality and monotonicity arguments under minimal ellipticity conditions. Designed for mathematicians and researchers working in differential equations and potential theory, it provides straightforward proofs and frameworks essential to understanding how these two mathematical domains inform and strengthen one another. Part of the prestigious Annals of Mathematics Studies series, this scholarly work synthesises recent theoretical developments and provides pathways for further investigation into the symbiotic relationship between fully nonlinear PDEs and generalised potential theories.

Key Features

Annals of Mathematics Studies volume 218 published by Princeton University Press for academic researchers and mathematicians.

Establishes comparison principles for nonlinear potential theories using duality and monotonicity under the weakest ellipticity notions.

Examines the productive relationship between fully nonlinear partial differential equations and generalised potential theory frameworks.

Provides rigorous mathematical foundations and straightforward proofs for advanced graduate-level study in differential equations.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
03 October 2023
Listed Since
14 February 2023

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