We reconsider in this paper boundary value problems for the so-called “infinity Laplacian” PDE and the relationships with optimal Lipschitz extensions of the boundary data. We provide some fairly elegant new proofs, which clarify and simplify previous work, and in particular draw attention to the fact that solutions may be characterized by a comparison principle with appropriate cones. We in pa...

Andrea Mazzolini, Marco Gherardi, 3 Michele Caselle, Marco Cosentino Lagomarsino, 3, 4 and Matteo Osella∗1 Physics Department and INFN, University of Turin, via P. Giuria 1, 10125 Turin, Italy Sorbonne Universités, UPMC Univ Paris 06, UMR 7238, Computational and Quantitative Biology, 15 rue de l’École de Médecine Paris, France CNRS, UMR 7238, Paris, France FIRC Institute of Molecular Oncology (...

1Department of Veterinary Biomedical Sciences, University of Saskatchewan, Saskatoon, SK, Canada S7N 5B4 2Center for Reproductive Medicine and Andrology, University of Münster, Domagkstraße 11, 48149 Münster, Germany 3Department of Obstetrics/Gynecology & Reproductive Sciences, Magee-Womens Research Institute, University of Pittsburgh School of Medicine, Pittsburgh, PA 15213, USA 4Department of...

Commonwealth Scientific and Industrial Research Organization Plant Industry, P.O. Box 1600, Australian Capital Territory 2601, Australia (S.R., Z.L., B.K.H., S.A., M.K.M.); Plant Breeding Institute, University of Sydney, Cobbitty, New South Wales 2570, Australia (A.R.); Department of Biological Sciences, Osaka Kyoiku University, 4–698–1 Asahigaoka, Kashiwara, Osaka 582, Japan (Y.M.); and Kansai...

This is a somewhat curious little book which was intended to be a concise note-book for medical, dental and other students to give them a brief idea of the subject before they attend their lectures and practical classes. It is no doubt a novel and ingenious idea on which the author may be congratulated. Blank pages have been put in so that students may draw diagrams from what they actually see ...