Local and nonlocal liquid drop models

DOI10.1007/978-3-031-53740-0_12MaRDI QIDQ6618573

Matteo Novaga, Fumihiko Onoue

Publication date: 14 October 2024

zbMATH Keywords

Riesz potentialliquid drop modelfractional perimetergeneralized minimizersclassical perimeter

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

• Gamma-convergence of nonlocal perimeter functionals
• New bounds on the maximum ionization of atoms
• Proof of the ionization conjecture in a reduced Hartree-Fock model
• The concentration-compactness principle in the calculus of variations. The limit case. I
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• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
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• The ionization conjecture in Hartree-Fock theory
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• An isoperimetric problem with a competing nonlocal singular term
• Minimisers of a general Riesz-type problem
• Large mass minimizers for isoperimetric problems with integrable nonlocal potentials
• Large mass rigidity for a liquid drop model in 2D with kernels of finite moments
• Nonexistence of minimizers for a nonlocal perimeter with a Riesz and a background potential
• Existence of minimizers for a generalized liquid drop model with fractional perimeter
• Existence and nonexistence in the liquid drop model
• Minimality of balls in the small volume regime for a general Gamow-type functional
• On an isoperimetric problem with a competing nonlocal term. I: The planar case
• Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model
• Local and Global Minimality Results for a Nonlocal Isoperimetric Problem on $\mathbb{R}^N$
• On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case
• Nonlocal minimal surfaces
• The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory
• Isoperimetric problem with a coulomb repulsive term
• Droplet breakup in the liquid drop model with background potential
• Mass defect curve and nuclear constitution.
• A note on some non-local variational problems

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