Minimizers of a free boundary problem on three-dimensional cones

DOI10.1016/j.na.2022.113152zbMath1501.35461arXiv2101.02262OpenAlexW3120998923MaRDI QIDQ2094286

Jason Gardiner, Mingyan Zhao, Blake Barker, Mark G. Allen

Publication date: 28 October 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02262

zbMATH Keywords

free boundary probleminterval arithmeticcomputer assisted proofone-phase problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Uses Software

• INTLAB
• RODES

Cites Work

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• Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation
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• A computer-assisted proof of the Feigenbaum conjectures
• The Lorenz attractor exists
• The Exponential Accuracy of Fourier and Chebyshev Differencing Methods
• The Accuracy of the Chebyshev Differencing Method for Analytic Functions

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