Geometric Properties for Parabolic and Elliptic PDE's

1. Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations
Goro Akagi

2. A Family of Hardy-Rellich Type Inequalities Involving the L
2-Norm of the Hessian Matrices
Elvise Berchio

3. Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains
Massimiliano Bianchini, Paolo Salani

4. The Heart of a Convex Body
Lorenzo Brasco, Rolando Magnanini

5. A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals
Giulio Ciraolo

6. Kato’s Inequality in the Half Space: An Alternative Proof and Relative Improvements
Adele Ferone

7. Sharp Bounds for the p-Torsion of Convex Planar Domains
Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley

8. Geometric Analysis of Fractional Phase Transition Interfaces
Giovanni Franzina, Enrico Valdinoci

9. Existence of Solutions to Some Classical Variational Problems
Antonio Greco

10. Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations
Norihisa Ikoma

11. Decay Rate of L

q
Norms of Critical Schrödinger Heat Semigroups
Kazuhiro Ishige, Yoshitsugu Kabeya

12. Hadamard Variation for Electromagnetic Frequencies
Shuichi Jimbo

13. Global Structure of the Solution Set for a Semilinear Elliptic Problem Related to the Liouville Equation on an Annulus
Toru Kan

14. A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations
Anna Mercaldo

15. Existence and Uniqueness of the n-Dimensional Helfrich Flow
Takeyuki Nagasawa

16. Ground States for Elliptic Equations in R^2 with Exponential Critical Growth
Bernhard Ruf, Federica Sani

17. Stationary Level Surfaces and Liouville-Type Theorems Characterizing Hyperplanes
Shigeru Sakaguchi

18. Nonexistence of Multi-bubble Solutions for a Higher Order Mean Field Equation on Convex Domains
Futoshi Takahashi

Avainsanat: Mathematics, Analysis, Partial Differential Equations, Functional Analysis, Differential Geometry, Convex and Discrete Geometry, Calculus of Variations and Optimal Control, Optimization