1. Regularized principal component analysis

   • Yonathan Aflalo
   • Ron Kimmel

   OriginalPaper 05 January 2017 Pages: 1 - 12

2. Catenoidal layers for the Allen-Cahn equation in bounded domains

   • Oscar Agudelo
   • Manuel Del Pino
   • Juncheng Wei

   OriginalPaper 05 January 2017 Pages: 13 - 44

3. Porous medium flow with both a fractional potential pressure and fractional time derivative

   • Mark Allen
   • Luis Caffarelli
   • Alexis Vasseur

   OriginalPaper 05 January 2017 Pages: 45 - 82

4. On the motion law of fronts for scalar reaction-diffusion equations with equal depth multiple-well potentials

   • Fabrice Bethuel
   • Didier Smets

   OriginalPaper 05 January 2017 Pages: 83 - 148

5. One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in ℝ ^N

   • Denis Bonheure
   • François Hamel

   OriginalPaper 05 January 2017 Pages: 149 - 172

6. A study guide for the l ² decoupling theorem

   • Jean Bourgain
   • Ciprian Demeter

   OriginalPaper 05 January 2017 Pages: 173 - 200

7. Isoperimetric, Sobolev, and eigenvalue inequalities via the Alexandroff-Bakelman-Pucci method: A survey

   • Xavier Cabré

   OriginalPaper 05 January 2017 Pages: 201 - 214

8. On a class of non-local operators in conformal geometry

   • Sun Yung Alice Chang
   • Ray A. Yang

   OriginalPaper 05 January 2017 Pages: 215 - 234

9. Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

   • Sagun Chanillo
   • Jean Van Schaftingen
   • Po-Lam Yung

   OriginalPaper 05 January 2017 Pages: 235 - 252

10. Recovery of immersions from their metric tensors and nonlinear Korn inequalities: A brief survey

    • Philippe G. Ciarlet
    • Cristinel Mardare
    • Sorin Mardare

    OriginalPaper 05 January 2017 Pages: 253 - 280

11. Nonlocal nonlinear advection-diffusion equations

    • Peter Constantin

    OriginalPaper 05 January 2017 Pages: 281 - 292

12. Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity

    • Charles Dapogny
    • Michael S. Vogelius

    OriginalPaper 05 January 2017 Pages: 293 - 344

13. Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for N ≥ 3

    • Jesús Ildefonso Díaz
    • Jesús Hernández
    • Yavdat Il’yasov

    OriginalPaper 05 January 2017 Pages: 345 - 378