Geometric Properties for Parabolic and Elliptic PDE's

Abstract

Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations.- Elvise Berchio, A family of Hardy-Rellich type inequalities involving the L2-norm of the Hessian matrices.- Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains.- Lorenzo Brasco and Rolando Magnanini, The heart of a convex set.- Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals.- Adele Ferone, Kato's inequality in the half space: an alternative proof and relative improvements.- Ilaria Fragala, Filippo Gazzola and Jimmy Lamboley, Sharp bounds for the p-torsion of convex planar domains.- Giovanni Franzina and Enrico Valdinoci, Geometric analysis of fractional phase transition interfaces.- Antonio Greco, Existence of solutions to some classical variational problems.- Norihisa Ikoma, Existence of minimizers for some coupled nonlinear Schrodinger equations.- Kazuhiro Ishige and Yoshitsugu Kabeya, Decay rate of Lq norms of critical Schrodinger heat semigroups.- Shuichi Jimbo, Hadamard variation for electromagnetic frequencies.- Toru Kan, Global structure of the solution set for a semilinear elliptic problem related to the Liouville equation on an annulus.- Anna Mercaldo, A priori estimates and comparison principle for some nonlinear elliptic equations.- Takeyuki Nagasawa, Existence and uniqueness of the n-dimensional Helfrich flow.- Bernhard Ruf and Federica Sani, Ground states for elliptic equations in R2 with exponential critical growth.- Shigeru Sakaguchi, Stationary level surfaces and Liouville-type theorems characterizing hyperplanes.- Futoshi Takahashi, Nonexistence of multi-bubble solutions for a higher order mean field on equation on convex domains.