Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations /Goro Akagi --A Family of Hardy-Rellich Type Inequalities Involving the L 2-Norm of the Hessian Matrices /Elvise Berchio --Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains /Massimiliano Bianchini, Paolo Salani --The Heart of a Convex Body /Lorenzo Brasco, Rolando Magnanini --A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals /Giulio Ciraolo --Kato's Inequality in the Half Space: An Alternative Proof and Relative Improvements /Adele Ferone --Sharp Bounds for the p-Torsion of Convex Planar Domains /Ilaria Fragal?a, Filippo Gazzola --Geometric Analysis of Fractional Phase Transition Interfaces /Giovanni Franzina --Existence of Solutions to Some Classical Variational Problems /Antonio Greco --Existence of Minimizers for Some Coupled Nonlinear Schr?╢dinger Equations /Norihisa Ikoma --Decay Rate of L q Norms of Critical Schr?╢dinger Heat Semigroups /Kazuhiro Ishige, Yoshitsugu Kabeya --Hadamard Variation for Electromagnetic Frequencies /Shuichi Jimbo --Global Structure of the Solution Set for a Semilinear Elliptic Problem Related to the Liouville Equation on an Annulus /Toru Kan --A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations /Anna Mercaldo --Existence and Uniqueness of the n-Dimensional Helfrich Flow /Takeyuki Nagasawa --Ground States for Elliptic Equations in RR2 with Exponential Critical Growth /Bernhard Ruf, Federica Sani --Stationary Level Surfaces and Liouville-Type Theorems Characterizing Hyperplanes /Shigeru Sakaguchi --Nonexistence of Multi-bubble Solutions for a Higher Order Mean Field Equation on Convex Domains /Futoshi Takahashi.