Issue 1

- A small data theorem for collisionless plasma that includes high velocity particles by and Jack Schaeffer
- An inequality for potentials and the "hot-spots" conjecture by Rodrigo Banuelos, and Michael Pang
- A notion of rectifiability modeled on Carnot groups by and Scott D. Pauls
- Existence of real analytic surfaces with hyperbolic complex tangent that are formally but not holomorphically equivalent to quadrics by and Xianghong Gong
- Stable and finite Morse index solutions on $\mathbb{R}^n$ or on bounded domains with small diffusion II by and E. N. Dancer
- Graph-directed iterated function systems with overlaps by Manav Das, and Sze-man Ngai
- Local variations and minimal area problem for Caratheodory functions by Roger W. Barnard, and Alexander Yu. Solynin
- Reconstruction of the potential from partial Cauchy data for the Schrodinger equation by Gunther Uhlmann, and Habib Ammari
- An explicit formula for finite Hilbert transforms associated with a polynomial by and Xian-Jin Li
- The core function of submodules over the bidisk by Rongwei Yang, and Kunyu Guo
- An inverse spectral result for the periodic Euler-Bernoulli equation by and Vassilis G. Papanicolaou
- On the existence of extremal metrics on complete noncompact 3-manifolds by Shu-Cheng Chang, and Chin-Tung Wu
- Intrinsic diameter and curvature integrals of surfaces immersed in $\mathbb{R}^n$ by and Joseph H.G. Fu

- Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres, part II by Antonio Ambrosetti, Andrea Malchiodi, and Wei-Ming Ni
- Polarization, continuous Markov processes, and second order elliptic equations by and Dimitrios Betsakos
- Boundary behaviour of functions of Nevanlinna class by A. Bourhim, O. El-Fallah, and K. Kellay
- Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices by M. Capitaine, and M. Casalis
- The Fredholm alternative for the $p$-Laplacian: bifurcation from infinity, existence and multiplicity by P. Drabek, P. Girg, P. Takac, and M. Ulm
- Blow up rate for semilinear heat equations with subcritical nonlinearity by Yoshikazu Giga, Shin'ya Matsui, and Satoshi Sasayama
- $\mathbb{Z}_n$-graded independence by and Frederick Goodman
- Weak-type estimates for singular integrals and the Riesz transform by and Prabhu Janakiraman
- Strong unique continuation property for an elasticity system with residual stress by and Ching-Lung Lin
- Hardy spaces of exact forms on Lipschitz domains in $\mathbb{R}^n$ by Zengjian Lou, and Alan McIntosh
- Decay estimates for weighted oscillatory integrals in $\mathbb{R}^2$ by Malabika Pramanik, and Chan Woo Yang
- On the entire solutions of a polynomial vector field on $\mathbb{C}^2$ by and Alvaro Bustinduy

- Fourier transform and Firey projections of convex bodies by Dmitry Ryabogin, and Artem Zvavitch
- The $p$-harmonic transform beyond its natural domain of definition by Luigi D'Onofrio, and Tadeusz Iwaniec
- Exponential attractors for a phase-field model with memory and quadratic nonlinearity by Stefania Gatti, Maurizio Grasselli, and Vittorino Pata
- Nevanlinna, Siegel, and Cremer by and Yusuke Okuyama
- Discrete conformal welding by and G. Brock Williams
- On Marcinkiewicz integral with variable kernels by Yong Ding, Chin-Cheng Lin, and Shuanglin Shao
- On common invariant subspaces for commuting contractions with rich spectrum by Marek Kosiek, and Alfredo Octavio
- Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels by Carme Cascante, Joaquim M. Ortega, and Igor Verbitsky
- Least-perimeter partitions of the disk into three regions of given areas by Manuel Ritore, and Antonio Canete
- Harmonic measure and uniform densities by Joaquim Ortega-Cerda, and Kristian Seip

- Distorted Hankel integral operators by A. B. Aleksandrov, and Vladimir V. Peller
- The stability of compressible vortex sheets in two space dimensions by Jean-Francois Coulombel, and Paolo Secchi
- Normalisers of CSL algebras by and I. G. Todorov
- Critical and subcritical elliptic systems in dimension two by Djairo G. de Figueiredo, Joao Marcos do O, and Bernhard Ruf
- Lack of integrability via viscosity solutions methods by Diogo Aguiar Gomes, and Enrico Valdinoci
- Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE by Zoran Grujic, and Anastasia Ruzmaikina
- The Boltzmann equation in the whole space by and Yan Guo
- The Evans function for nonlocal equations by Todd Kapitula, Nathan Kutz, and Bjorn Sandstede
- Measurable differentiable structures and the Poincare inequality by and Stephen Keith
- Extensions of operators by D. Han, D. Larson, Z. Pan, and W. Wogen
- Multi-indexed $p$-orthogonal sums in non-commutative Lebesgue spaces by and Javier Parcet
- Global solutions to a new integrable equation with peakons by and Zhaoyang Yin

- Maximum principles at infinity for surfaces of bounded mean curvature in $\mathbb{R}^3$ and $\mathbb{H}^3$ by Ronaldo F. de Lima, and William Meeks III
- Matrix-weighted Besov spaces and conditions of $A_p$ type for $0 < p leq 1$ by Michael Frazier, and Svetlana Roudenko
- Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle by Tilmann Glimm, and Vladimir Oliker
- Finite-dimensional Banach spaces with numerical index zero by Miguel Martin, Javier Meri, and Angel Rodriguez-Palacios
- Local energy decay of solutions to the Oseen equation in the exterior domains by Yuko Enomoto, and Yoshihiro Shibata
- Global small solutions of the Vlasov-Maxwell system in the absence of incoming radiation by and Simone Calogero
- Singular sets of harmonic functions in $\mathbb{R}^2$ and their complexifications in $\mathbb{C}^2$ by and Qing Han
- Standard deviation and Schatten class Hankel operators on the Segal-Bargmann space by Jingbo Xia, and Dechao Zheng
- Partial regularity of weak solutions of the liquid crystal equilibrium system by and Min-Chun Hong
- Blow-up in a degenerate parabolic equation by and Michael Winkler
- Internal stabilization of Navier-Stokes equations with finite-dimensional controllers by Viorel Barbu, and Roberto Triggiani

- Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime. by Thierry Goudon, Pierre-Emmanue Jabin, and Alexis Vasseur
- Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part II: Fine particles regime. by Thierry Goudon, Pierre-Emmanue Jabin, and Alexis Vasseur
- Common cyclic vectors for normal operators by William T. Ross, and Warren R. Wogen
- Remarks on the operator-valued interpolation for multivariable bounded analytic functions by and Calin G. Ambrozie
- The tracial topological rank of $C^*$-algebras (II) by Shanwen Hu, Huaxin Lin, and Yifeng Xue
- Local solvability in corank one involutive real-analytic structures by Paulo D. Cordaro, and Evandro R. da Silva
- Nonlinear potential analysis on Morrey spaces and their capacities by D. R. Adams, and J. Xiao
- Strichartz estimates for the wave and Schrodinger equations with potentials of critical decay by Nicolas Burq, Fabrice Planchon, John G. Stalker, and A. Shadi Tahvildar-Zadeh
- Stable and singular solutions of the equation $Delta u = 1/u$ by and Alexander M. Meadows
- On the motion of a viscous, compressible, and heat conducting fluid by and Eduard Feireisl
- Sharp Jackson and Bernstein inequalities for $N$-term approximation in sequence spaces with applications by Gustavo Garrigos, and Eugenio Hernandez
- An operator corona theorem by and Sergei Treil