Isoperimetric and universal inequalities for eigenvalues
45 pages. This is my contribution to the proceedings of the Instructional Conference on Spectral Theory and Geometry held in Edinburgh in March-April ...
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Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. [PDF]
Del Nin G, Petrache M.
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Pólya-Szegő Inequalities on Submanifolds with Small Total Mean Curvature. [PDF]
Aldrigo P, Balogh ZM.
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Remodeling of Biomembranes and Vesicles by Adhesion of Condensate Droplets. [PDF]
Lipowsky R.
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SOBOLEV AND ISOPERIMETRIC INEQUALITIES WITH MONOMIAL WEIGHTS
. We consider the monomial weight |x1|A1 · · · |xn|An in Rn, where Ai ≥ 0 is a real number for each i = 1,..., n, and establish Sobolev, isoperimetric, Morrey, and Trudinger inequalities involving this weight.
Xavier Ros-oton, Xavier Cabre
core
On Shape Optimization with Large Magnetic Fields in Two Dimensions. [PDF]
Lotoreichik V, Morin L.
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A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D. [PDF]
Julin V, Morini M, Oronzio F, Spadaro E.
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Optimal transport of vector measures. [PDF]
Ciosmak KJ.
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A Hölder-type inequality for the Hausdorff distance between Lagrangians. [PDF]
Chassé JP, Leclercq R.
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On the Isoperimetric and Isodiametric Inequalities and the Minimisation of Eigenvalues of the Laplacian. [PDF]
Farrington S.
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