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Beskrivning
These topics interact with many other areas of research and rely on a wide range of mathematical tools and techniques, both analytic and geometric. The Italian and Japanese mathematical schools have a long history of research on PDEs and have numerous active groups collaborating in the study of the geometric properties of their solutions.
1 Angela Alberico, Giuseppina di Blasio and Filomena Feo: Estimates for solutions to anisotropic elliptic equations with zero order term.- 2 Vieri Benci and Lorenzo Luperi Baglini: A topological approach to non-Archimedean Mathematics.- 3 Chiara Bianchini and Giulio Ciraolo: A note on an overdetermined problem for the capacitary potential.- 4 Lorenzo Brasco and Filippo Santambrogio: Poincar´e inequalities on convex sets by Optimal Transport methods.- 5 Davide Buoso: Analyticity and criticality results for the eigenvalues of the biharmonic operator.- 6 Giulio Ciraolo and Luigi Vezzoni: A remark on an overdetermined problem in Riemannian Geometry.- 7 Norisuke Ioku and Michinori Ishiwata: A note on the scale invariant structure of critical Hardy inequalities.- 8 Yoshihito Kohsaka: Stability analysis of Delaunay surfaces as steady states for the surface diffusion equation.- 9 Rolando Magnanini and Giorgio Poggesi: Littlewood’s fourth principle.- 10 Kazuhiro Ishige and Kazushige Nakagawa: The Phragmèn-Lindelöf theorem for a fully nonlinear elliptic problem with a dynamical boundary condition.- 11 Saori Nakamori and Kazuhiro Takimoto: Entire solutions to generalized parabolic k-Hessian equations.- 12 Kurumi Hiruko and Shinya Okabe: Dynamical aspects of a hybrid system describing intermittent androgen suppression therapy of prostate cancer.- 13 Shigeru Sakaguchi: Symmetry problems on stationary isothermic surfaces in Euclidean spaces.- 14 Megumi Sano and Futoshi Takahashi: Improved Rellich type inequalities in RN.- 15 Jin Takahashi: Solvability of a Semilinear Parabolic Equation with Measures as Initial Data.- 16 Jann-Long Chern and Eiji Yanagida: Singular Solutions of the Scalar Field Equation with a Critical Exponent.
