Remark on a nonlocal isoperimetric problem
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Publication:515704
DOI10.1016/j.na.2016.10.011zbMath1358.49039arXiv1610.04449OpenAlexW2536675013WikidataQ110855458 ScholiaQ110855458MaRDI QIDQ515704
Publication date: 16 March 2017
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/1610.04449
Variational problems in a geometric measure-theoretic setting (49Q20) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Optimization of shapes other than minimal surfaces (49Q10)
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On a quaternary nonlocal isoperimetric problem ⋮ Bifurcation and fission in the liquid drop model: A phase-field approach ⋮ Liquid Drop Model for Nuclear Matter in the Dilute Limit ⋮ A nonlocal isoperimetric problem with density perimeter ⋮ Existence and nonexistence in the liquid drop model ⋮ Quantitative estimates for bending energies and applications to non-local variational problems ⋮ Non-spherical equilibrium shapes in the liquid drop model ⋮ Periodic minimizers of a ternary non-local isoperimetric problem
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