Optimal Distribution of Oppositely Charged Phases: Perfect Screening and Other Properties

DOI10.1137/15M1020927zbMath1338.49024arXiv1506.02831MaRDI QIDQ2796502

Hans Knüpfer, Matthias Röger, Marco Bonacini

Publication date: 29 March 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02831

zbMATH Keywords

regularityobstacle problem\(\Gamma\)-convergencescreeningcharge neutralitynonlocal Coulomb interactionoptimal charge distribution

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Connections of harmonic functions with differential equations in higher dimensions (31B35) Variational principles of physics (49S05) Optimality conditions for free problems in two or more independent variables (49K10)

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Ground states of a ternary system including attractive and repulsive Coulomb-type interactions ⋮ Nucleation barriers for the cubic‐to‐tetragonal phase transformation in the absence of self‐accommodation ⋮ Local incompressibility estimates for the Laughlin phase ⋮ Nonlocal Shape Optimization via Interactions of Attractive and Repulsive Potentials ⋮ Ground States of a Two Phase Model with Cross and Self Attractive Interactions

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