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

Issue 2

• 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

Issue 3

• 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

Issue 4

• 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

Issue 5

• 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

Issue 6

• 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