Peter McGrath

Works (7)

Updated: October 29th, 2024 05:04

2024 article

On Liouville's Theorem for Conformal Maps

Kushelman, M., & Mcgrath, P. (2024, May 6). AMERICAN MATHEMATICAL MONTHLY.

By: M. Kushelman n & P. Mcgrath n

author keywords: 30C35
Source: Web Of Science
Added: May 20, 2024

2024 journal article

On Steklov eigenspaces for free boundary minimal surfaces in the unit ball

AMERICAN JOURNAL OF MATHEMATICS, 146(5).

By: R. Kusner & P. McGrath*

Source: Web Of Science
Added: October 28, 2024

2024 journal article

On the Areas of Genus Zero Free Boundary Minimal Surfaces Embedded in the Unit 3-Ball

JOURNAL OF GEOMETRIC ANALYSIS, 34(9).

By: P. Mcgrath* & J. Zou

author keywords: Differential geometry; Minimal surfaces; Geometric analysis; Free boundary problems; Varifolds; Currents
Source: Web Of Science
Added: July 17, 2024

2023 journal article

On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 247(1).

By: R. Kusner* & P. McGrath n

Source: Web Of Science
Added: February 20, 2023

2023 journal article

Two-point functions and constant mean curvature surfaces in R3

INVOLVE, A JOURNAL OF MATHEMATICS, 16(3), 467–482.

By: P. Mcgrath n & E. Meekins n

author keywords: constant mean curvature; Hopf; Alexandrov; differential geometry; geometric analysis; surface
Source: Web Of Science
Added: October 16, 2023

2021 journal article

Symmetry and isoperimetry for Riemannian surfaces

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 61(1).

By: J. Hoisington* & P. McGrath n

Source: Web Of Science
Added: November 29, 2021

2020 article

Bases for Second Order Linear ODEs

McGrath, P. (2020, October 20). AMERICAN MATHEMATICAL MONTHLY, Vol. 127, pp. 849–849.

By: P. McGrath n

author keywords: MSC
TL;DR: The usual analysis of the constant coefficient ODE ay″+by′+cy=0 —which concludes that ert is a solution when r=(−b±b2−4ac)/(2a) —fails to produce a basis for the solution space when b2− 4ac=0. (via Semantic Scholar)
Source: Web Of Science
Added: December 21, 2020

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