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Read more at: Anisotropic Interaction Models for Simulating Fingerprint Patterns

Anisotropic Interaction Models for Simulating Fingerprint Patterns

Researcher: Lisa Maria Kreusser, Martin Burger, José Carrillo, Bertram Düring, Carsten Gottschlich, Stephan Huckemann, Peter Markowich, Carola-Bibiane Schönlieb 


Read more at: L-infinity Variational Problems

L-infinity Variational Problems

Researcher: Yury Korolev, and Carola-Bibiane Schönlieb

We study minimisers of Rayleigh quotients involving $L^\infty$ type norms such as the $W^{1,\infty}$ Sobolev norm. Notable minimisers include ground states of the $\infty$-Laplacian $\Delta_\infty$, $\infty$-harmonic functions and the distance function.  We use convex analysis to characterise these minimisers and their subgradients.