Geometric Partial Differential Equations proceedings

1. On the structure of phase transition maps for three or more coexisting phases
Nicholas D. Alikakos

2. The nonlinear multidomain model: a new formal asymptotic analysis
Stefano Amato, Giovanni Bellettini, Maurizio Paolini

3. Existence and qualitative properties of isoperimetric sets in periodic media
Antonin Chambolle, Michael Goldman, Matteo Novaga

4. Minimizing movements and level set approaches to nonlocal variational geometric flows
Antonin Chambolle, Massimiliano Morini, Marcello Ponsiglione

5. Homogenization with oscillatory Neumann boundary data in general domain
Sunhi Choi, Inwon C. Kim

6. The analysis of shock formation in 3-dimensional fluids
Demetrios Christodoulou

7. Regularity of the extremal solutions for the Liouville system
Louis Dupaigne, Alberto Farina, Boyan Sirakov

8. On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force
Mi-Ho Giga, Yoshikazu Giga, Atsushi Nakayasu

9. On representation of boundary integrals involving the mean curvature for mean-convex domains
Yoshikazu Giga, Giovanni Pisante

10. Boundary regularity for the Poisson equation in reifenberg-flat domains
Antoine Lemenant, Yannick Sire

11. Limiting models in condensed matter Physics and gradient flows of 1-homogeneous functional
Matteo Novaga, Giandomenico Orlandi

12. Maximally localized Wannier functions: existence and exponential localization
Adriano Pisante

13. Flows by powers of centro-affine curvature
Alina Stancu

Keywords: Mathematics, Partial Differential Equations, Calculus of Variations and Optimal Control, Optimization