Quantitative estimates for bending energies and applications to non-local variational problems
DOI10.1017/prm.2018.149zbMath1437.49005arXiv1801.01418OpenAlexW2782464725MaRDI QIDQ4960365
Matthias Röger, Matteo Novaga, Michael Goldman
Publication date: 15 April 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.01418
geometric variational problemsWillmore functionalglobal minimizerscompeting interactionsbending energycharged elastic dropsnon-local perimeter perturbationRiesz interaction energy
Existence theories for optimal control problems involving partial differential equations (49J20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Magnetohydrodynamics and electrohydrodynamics (76W99)
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